Proportion

We are given that $y = kw^2x$ , where $k$ is unknown. To find $k$ , substitute $(y=36, x=2, w=3)$ in $y = kw^2x$ :

$36=k(3^2)(2)$

$k=2$

Now find the value of $y$ when $x = 3$ and $w = 4$ .

$y=(2)(4^2)(3)=(2)(16)(3)=96$

Because y is proportional to x and w^2 y must be 3/2*(4/3)^2 = 8/3 as large. So y = 8/3 * 36=8 * 12=96