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Given A : B = 4 : 5, B : C = 6 : 7 and C : D = 10 : 11, work out the combined ratio A : B : C : D.

1. 48 : 60 : 70 : 77
2. 4 : 5 : 7 : 11
3. 24 : 30 : 35 : 44
4. 8 : 10 : 14 : 11

Correct answer: 48 : 60 : 70 : 77

Solution

Combining A:B=4:5 with B:C=6:7 gives A:B:C = 24:30:35. Matching C with C:D=10:11 (scale by 7) gives A:B:C:D = 48:60:70:77, which is the required compound ratio.

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