Ratio & Proportion Problem

Question

$\frac{Px}{(b-c)} = \frac{Qy}{(c-a)} = \frac{Rz}{(a-b)}$

Find the value of $(P*a*x) + (Q*b*y) + (R*c*z)$

This question is a problem of my Class VII textbook and no solved examples of the type are included.

Answer 1

HINT:

Set each ratio $=k$

and put the values of $Px$ etc. in $Pax + Qby +Rcz$