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Finding the Fourth Proportional to 15,613.68, 21,537 and 9,561.12

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Solution

The fourth proportional to 15,613.68, 21,537 and 9,561.12 is: 13,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.68 : 21,537 = 9,561.12 : x
  2. Step 2: Convert to fraction form
    15,613.68/21,537 = 9,561.12/x
  3. Step 3: Cross multiply
    15,613.68x = 21,537 × 9,561.12
  4. Step 4: Simplify right side
    15,613.68x = 205,917,841.44
  5. Step 5: Solve for x
    x = 205,917,841.44/15,613.68
  6. Step 6: Final answer
    x = 13,188.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.