Overnight rain continued well into the afternoon and umpires Vincent Bullen and Goaland Greaves were left with little choice but to abandon the match.
The series finished tied 1-1 after West Indies A won the first match by two wickets last Wednesday and India clinched the second by 108 runs two days later.
With this, India A's tour of the Caribbean came to an end with the team achieving modest results.
The two teams had earlier tied 1-1 in the couple of Twenty20s, while the hosts had claimed the three-match unofficial four-day Test series.
India's batsmen, including established names such as Rohit Sharma and Shikhar Dhawan struggled on the tour, but a few youngsters such as all-rounder Jalaj Saxena made an impression with gritty performances in the low-scoring affairs on the bouncy tracks here.