Sulfotransferase that utilizes 3'-phospho-5'-adenylyl sulfate (PAPS) as sulfonate donor to catalyze the sulfate conjugation of quercetin 3-sulfate > kaempferol 3-sulfate > isorhamnetin 3-sulfate > patuletin 3-sulfate, but not tamarixetin 3-sulfate. O-sulfation of position 4' of flavonol. May play a role in auxin transport. 3'-phosphoadenylyl sulfate + quercetin 3-sulfate = adenosine 3',5'-bisphosphate + H(+) + quercetin 3,4'-bissulfate No requirement for divalent cations and insensitive to p-chloromercuribenzoate, iodoacetate, or iodoacetamide. Optimum pH is 7.5. Highest in shoot tips and lowest in mature leaves and roots. Belongs to the sulfotransferase 1 family.