Based on the data sample of 448.1×106 ψ(3686) events collected with the BESIII detector at BEPCII, we present a study of the decays ψ(3686)→γχcJ→γp̄K∗+Λ+c.c. and ψ(3686)→p̄K∗+Λ+c.c. The branching fractions of χcJ→p̄K∗+Λ+c.c. (J=0, 1, 2) are measured to be (4.8±0.7±0.5)×10-4, (5.0±0.5±0.4)×10-4, and (8.2±0.9±0.7)×10-4, respectively, where the first uncertainties are statistical and the second systematic. The branching fraction of ψ(3686)→p̄K∗+Λ+c.c. is measured to be (6.3±0.5±0.5)×10-5. All these decay modes are observed for the first time.