A: B is 1: 2; B: C is 3: 2 and C: D is 1:3. Find A : B : C : D.

\(\frac{A }{ B}\) = \(\frac{ 1}{ 2}\)

\(\frac{B}{ C}\) = \(\frac{3 }{ 2}\)

\(\frac{C}{ D}\) = \(\frac{1 }{ 3}\)

\(\frac{A }{ B}\) : \(\frac{B}{ C}\) : \(\frac{C}{ D}\) = \(\frac{ 1}{ 2}\) : \(\frac{3 }{ 2}\) : \(\frac{1 }{ 3}\)

Thus, A : B : C : D = (1 x 3 x 1) : (2 x 3 x 1) : (2 x 2 x 1) : (2 x 2 x 3)

 A : B : C : D = 3 : 6 : 4 : 12