The tourists had made a flying start to contest after being put in to bat at the toss, reaching 97-1 when play was eventually called off for the last time.
Abhishek Sharma was the only wicket to fall to seamer Nathan Ellis with Shubman Gill unbeaten on 37 off 20 balls and captain Suryakumar Yadav 39 not out from 24 deliveries.
The second game of the five-match series takes place on Friday in Melbourne.
India are missing allrounder Nitish Kumar Reddy for next two matches due to back stiffness while Shreyas Iyer is still recovering from injury.
India batter Shreyas Iyer is "medically stable" but remains under observation in hospital after a laceration injury to the spleen suffered in the third ODI against Australia.
Australia head coach Andrew McDonald has confirmed that captain Pat Cummins has been ruled out of the first Ashes Test against England as the fast bowler has "run out of time" to prove his fitness.
The Proteas Women's run of five consecutive victories at the ICC Women's World Cup came to end after falling to a seven-wicket defeat against Australia on Saturday.
Rohit Sharma produced a masterful unbeaten century to lead India to a commanding nine-wicket victory over Australia in the third ODI in Sydney on Saturday.
