# What are the ratios in 2:3=4:_____=8:____=_____:15?

Well, 2:3 expressed as a fraction is 2/3.  Problem 1: 2:3 = 4:x (your statement)  2/3 = 4/x (your statement - expressed as fractions)  2x = 12 (cross multiply: (2 * x) and (4 * 3))  2x/2 = 12/2 (divide by 2 on both sides)  x = 6 (simplify)  Therefore, 2:3 = 4:6  Problem 2: 2:3 = 8:x (your statement)  2/3 = 8/x (your statement - expressed as fractions)  2x = 24 (cross mulitply: (2 * x) and (8 * 3))  2x/2 = 24/2 (divide by 2 on both sides)  x = 12 (simplify)  Hence, 2:3 = 8:12  Problem 3: 2:3 = x:15 (your statement)  2/3 = x/15 (your statement - expressed as fractions)  3x = 30 (cross multiply: (2 * 15) and (3 * x))  3x/3 = 30/3 (divide by 3 on both sides)  x = 10 (simplify)  Thus, 2:3 = 10:15  Final answer: 2:3 = 4:6 = 8:12 = 10:15 (these are equivalent ratios)
thanked the writer.
Oddman commented
Once again, "cross multiply" is a waste of time. In the case of 2/3=x/15, multiplying by 15 solves it: X=(2/3)*15. Your cross multiplying step introduces a factor of 3 that then must be divided out.