Induction scheduled, 2nd percentile

Tk

Ok soooo both my hubby and I are small, so I’m trying not to worry, but ever since my growth scan at ~21 weeks baby boy has been measuring slightly smaller than average. At 32 weeks he was in the 20th percentile, and now at 37 weeks he is in the 2nd percentile. They estimated his weight at 4 pounds 7 ounces, and scheduled for me to induced the following week ( 3 more days!!!) Original due date was June 27th

They said baby is happy and healthy, just small! Looking for some reassurance!