If a : b = 3 : 7 and b : c = 4 : 9, then find a : b : c.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 12 : 28 : 63.
If a : b1 and b2 : c is given the value of a : b : c can be calculated as:
a : b : c = (a × b2) : (b1 × b2) : (c × b1)
Accordinf to the given question,
a : b = 3 : 7 and b : c = 4 : 9
Now, a : b : c = (3 × 4) : (7 × 4) : (7 × 9)
⇒ a : b : c = 12 : 28 : 63
Hence the value of a : b : c is 12 : 28 : 63.