Question

1 point
3) If A:B = 9:11 and B:C = 44:27.
find A:C*
O
4:3
O
3:4
O 이
2:3
O
3:2​

Answer 1

Step-by-step explanation:

will go beyond the scope of question.

We shall find A:B:C:D

How to do it ?

—— (1) : (2)

A:B = 2 : 3

B:C = 4 : 5

C:D = 6 : 7

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

A = 2 x 4 x 6 = 48

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 6 x 3 = 72

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

C = 6 x 3 x 5 = 90

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

D = 3 x 5 x 7 = 105

=> A:B:C:D = 48:72:90:105

You can find ratio between any two or three variables from above.

A:D = 48:105 = 16:35

Note : This logic can be extended to any number of rows

If A:B, B:C, C:D, D:E, E:F, F:G, G:H, H:I is given, we can find A:B:C:D:E:F:G:H:I using above method.

Example :

A:B = 1:2

B:C = 2:7

C:D = 3:5

D:E = 3:8

E:F = 1:3

F:G = 2:5

G:H = 3:2

H:I = 1:5

A = 1*2*3*3*1*2*3*1 = 108

B = 2*3*3*1*2*3*1*2 = 216

C = 3*3*1*2*3*1*2*7 = 756

D = 3*1*2*3*1*2*7*5 = 1260

E = 1*2*3*1*2*7*5*8 = 3360

F = 2*3*1*2*7*5*8*3 = 10080

G = 3*1*2*7*5*8*3*5 = 25200

H = 1*2*7*5*8*3*5*2 = 16800

I = 2*7*5*8*3*5*2*5 = 84000

A:B:C:D:E:F:G:H:I

=108:216:756:1260:3360:10080:25200:16800:84000

= 27:54:139:320:840:2520:6300:4200:21000

Food for thought, eh ??