Answer
$27psi$
Work Step by Step
We can find the required pressure in tire as follows:
$F=\frac{mg}{4}$
$\implies F=\frac{1500(9.8)}{4}=3675N$
$A=0.13\times 0.15=0.0195m^2$
Now $P=\frac{F}{A}$
We plug in the known values to obtain:
$P=\frac{3675}{0.0195}$
$\implies P=188KPa=27psi$