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Finding the Fourth Proportional to 16,613.68, 24,932.88 and 7,851.28

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Solution

The fourth proportional to 16,613.68, 24,932.88 and 7,851.28 is: 11,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,613.68 : 24,932.88 = 7,851.28 : x
  2. Step 2: Convert to fraction form
    16,613.68/24,932.88 = 7,851.28/x
  3. Step 3: Cross multiply
    16,613.68x = 24,932.88 × 7,851.28
  4. Step 4: Simplify right side
    16,613.68x = 195,755,022.09
  5. Step 5: Solve for x
    x = 195,755,022.09/16,613.68
  6. Step 6: Final answer
    x = 11,782.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.