That is a trick question. You can't make a four letter word using all five vowels.
Some four letter words that have two vowels are:abetableacheacmeacneahemamenanteaveraxlebabebakebarebarebasebeadbeakbeambearbeatbeefbeenbeerbeetbidebikebiteblueboarboatboilbonebookbootboreboutbozobriecafecagecakecamecanecapecarecasecavecluecodecoedcoilcoincolacomacomeconecopecorecovecubecurecutedaledamedaredatadatedaubdazedeaddeafdealdeardeeddeemdeepdeerdelidemodialdicedimedinediredivadivedoledomedonedopedovedozedudedukedunedupeeachearlearneastechoecruedenedgeeditelseemiremitepicergoeveneverevilewerexamexitfacefadefailfairfakefamefarefatefaunfauxfazefearfeatfeedfeelfeetfetafetefeudfieffifefilefinefirefivefleafleefluefoalfoamfoilfootforefreefumefusegagagaingaitgalagalegamegapegategavegazegeargeargenegivegleegluegoadgoalgoalgoatgoesgonegoodgoofgoopgoregoutguruhailhairhalehaloharehatehaulhavehazeheadhealheaphearheatheedheelheirhereherohidehikehirehivehoaxhoboholehomehonehoodhoofhookhoophoothopehosehourhugehulaibexibisiconidleidolintoirisironisleitemjadejailjavajeerjivejoinjokejudojutekalekeelkeenkeepkenokilokitekiwikneekookkudolacelaidlainlairlakelamelanelatelaudlavalazeleadleafleakleanleapleekliarliceliedlienlifelikelimelimolinelionliveloadloafloamloanlobelocolodelogoloinlonelookloomloonlooplootlopeloreloseloudloutlovelubelugelureluteluxemacemademagimaidmailmaimmainmakemalemamamanemarematemaulmazemeadmealmeanmeatmeekmeetmemomenumeowmeremesametemicamicemikemilemimeminemiremitemoanmoatmodemoilmojomolemoodmoonmoormootmopemoremotemovemulemumumusemutenailnamenapenearneatneedneonniceninenodenoelnonenooknoonnopenosenotenounnovanudeoathodorogleogreoinkokraomenomitonceontooopsopalopenoralorcaorzoovaloveroxenpacepagepaidpailpainpairpalepanepapaparepatepavepeakpealpearpeatpeekpeelpeeppeerpeonpesopicapierpikepilepinepipepitapleapoempoetpokepoleponepopeporeposepucepukepumapurequadquayquidquipquitquizracerageraidrailrainrakeraperarerateraverazereadrealreamreaprearredoreedreefreekreelreinricerideriferilerimeriotriperiseriteroadroamroanroarroberoderoleroofrookroomrootroperoseroteroutroveruberuderuinrulerusesafesagasagesaidsailsakesalesamesanesarisavesealseamsearseatseedseekseemseenseepseershoesidesilosinesiresitesizesoaksoapsoarsodasofasoilsolesolosomesoonsootsoresoulsoupsourspuesuetsuitsuretabutacotailtaketaletametapetaretarotaxiteaktealteamtearteatteemteentheethoutidetiertiletimetinetiretoadtofutogatoiltometonetooktooltoottoretotetourtreetriotruetubatubetunatunetutuulnaundounituntouponurgeuservainvalevanevasevealveerveilveinvetovialviceviewvilevinevisavisevoidvolevotewadewadiwagewaifwailwaitwakewanewarewaveweakwealweanwearweedweekweepwerewheewhoawidewifewilewinewipewirewisewokewoodwoofwoolworewoveyeahyearyetiyogayokeyoreyouryulezealzerozetazitizonezoom
isle,else,also,
boeotian
standardizing
There is only one word with four vowels that is in the Dictionary. Gooey -Wet Vagina
An eight letter word with three vowels using those letters is scavenge.Eight letter words with four vowels using those letters are agencies and envisage.
Some four letter words that have two vowels are:abetableacheacmeacneahemamenanteaveraxlebabebakebarebarebasebeadbeakbeambearbeatbeefbeenbeerbeetbidebikebiteblueboarboatboilbonebookbootboreboutbozobriecafecagecakecamecanecapecarecasecavecluecodecoedcoilcoincolacomacomeconecopecorecovecubecurecutedaledamedaredatadatedaubdazedeaddeafdealdeardeeddeemdeepdeerdelidemodialdicedimedinediredivadivedoledomedonedopedovedozedudedukedunedupeeachearlearneastechoecruedenedgeeditelseemiremitepicergoeveneverevilewerexamexitfacefadefailfairfakefamefarefatefaunfauxfazefearfeatfeedfeelfeetfetafetefeudfieffifefilefinefirefivefleafleefluefoalfoamfoilfootforefreefumefusegagagaingaitgalagalegamegapegategavegazegeargeargenegivegleegluegoadgoalgoalgoatgoesgonegoodgoofgoopgoregoutguruhailhairhalehaloharehatehaulhavehazeheadhealheaphearheatheedheelheirhereherohidehikehirehivehoaxhoboholehomehonehoodhoofhookhoophoothopehosehourhugehulaibexibisiconidleidolintoirisironisleitemjadejailjavajeerjivejoinjokejudojutekalekeelkeenkeepkenokilokitekiwikneekookkudolacelaidlainlairlakelamelanelatelaudlavalazeleadleafleakleanleapleekliarliceliedlienlifelikelimelimolinelionliveloadloafloamloanlobelocolodelogoloinlonelookloomloonlooplootlopeloreloseloudloutlovelubelugelureluteluxemacemademagimaidmailmaimmainmakemalemamamanemarematemaulmazemeadmealmeanmeatmeekmeetmemomenumeowmeremesametemicamicemikemilemimeminemiremitemoanmoatmodemoilmojomolemoodmoonmoormootmopemoremotemovemulemumumusemutenailnamenapenearneatneedneonniceninenodenoelnonenooknoonnopenosenotenounnovanudeoathodorogleogreoinkokraomenomitonceontooopsopalopenoralorcaorzoovaloveroxenpacepagepaidpailpainpairpalepanepapaparepatepavepeakpealpearpeatpeekpeelpeeppeerpeonpesopicapierpikepilepinepipepitapleapoempoetpokepoleponepopeporeposepucepukepumapurequadquayquidquipquitquizracerageraidrailrainrakeraperarerateraverazereadrealreamreaprearredoreedreefreekreelreinricerideriferilerimeriotriperiseriteroadroamroanroarroberoderoleroofrookroomrootroperoseroteroutroveruberuderuinrulerusesafesagasagesaidsailsakesalesamesanesarisavesealseamsearseatseedseekseemseenseepseershoesidesilosinesiresitesizesoaksoapsoarsodasofasoilsolesolosomesoonsootsoresoulsoupsourspuesuetsuitsuretabutacotailtaketaletametapetaretarotaxiteaktealteamtearteatteemteentheethoutidetiertiletimetinetiretoadtofutogatoiltometonetooktooltoottoretotetourtreetriotruetubatubetunatunetutuulnaundounituntouponurgeuservainvalevanevasevealveerveilveinvetovialviceviewvilevinevisavisevoidvolevotewadewadiwagewaifwailwaitwakewanewarewaveweakwealweanwearweedweekweepwerewheewhoawidewifewilewinewipewirewisewokewoodwoofwoolworewoveyeahyearyetiyogayokeyoreyouryulezealzerozetazitizonezoom
21^4
isle,else,also,
boeotian
standardizing
Hundreds of words have 4 vowels. Among the shortest are: easier invitee overseen unearthed unique
euphony
One of them is "iota."
Some four-letter musical instruments that contain three vowels are "ukulele" and "oboe." While "ukulele" has more than four letters, "oboe" fits the criteria perfectly with three vowels and four letters. Other examples include "lute" and "horn," but they contain fewer vowels.
Words
There is only one word with four vowels that is in the Dictionary. Gooey -Wet Vagina