If a+c=mb and 1/b + 1/d=m/c, prove that a,b,c and d are in proportion.

Question

This is of Ratio and proportion.

Answer 1

c/b + c/d = m <--- multiplies the second equation by c



c + cb/d = mb = a + c <--- mutiplies everything by b


cb/d = a <--- subtracts c from both sides

bc = ad <---- multiplies


c/d = a/b <--- divides both sides by bd