Question

For which value of m is 4/16 = m/24 a proportion?

Answer 1

How does one get 24 from 16?  Answer:  Multiply 16 by (3/2).  If we want 4/16 = m/24 to be a proportion, then multiply m by (3/2) also:

4         (3/2)m

------ * ----------------

 16          24

To answer this question fully, we must solve for m:

Multiply

4         24

---- by --------- ,   which produces   96/24 = 4/1, or just 4.  m = 4.

16        (3/2)