Question

If a : b = 2 : 3 b : c = 4 : 3 and c : d = 2 : 3, then find
a : b : c : d.

Answer 1

Answer:  16:24:18:27

Step-by-step explanation:  

A:B = 2 : 3

B:C = 4 : 3

C:D = 2 : 3

A is the product of all terms appearing under column (1).

A = 2 x 4 x 2 = 16

B is the product of all terms under column (1) beginning from second row and term under column (2) for all previous rows.

B = 4 x 2 x 3 = 24

C is the product of all terms under column (1) beginning from third row and terms under column (2) for all previous rows.

C = 2 x 3 x 3 = 18

D is the product of all terms appearing under column (2).

D = 3 x 3 x 3 = 27

=> A:B:C:D = 16:24:18:27

Answer 2

Answer:

2:1:1:1

Step-by-step explanation:

a : b : c : d

2 : 3 : 3 : 3

4 : 4 : 3 : 3

2 : 2 : 2 : 3

_________

16:24:27:27

16:8 : 9 : 9

2 : 1 : 9 : 9

2 : 1 : 1 : 1

.

. . The ans is 2:1:1:1 .