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Finding the Fourth Proportional to 16,472.57, 22,732.16 and 8,918.91

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Solution

The fourth proportional to 16,472.57, 22,732.16 and 8,918.91 is: 12,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472.57 : 22,732.16 = 8,918.91 : x
  2. Step 2: Convert to fraction form
    16,472.57/22,732.16 = 8,918.91/x
  3. Step 3: Cross multiply
    16,472.57x = 22,732.16 × 8,918.91
  4. Step 4: Simplify right side
    16,472.57x = 202,746,089.15
  5. Step 5: Solve for x
    x = 202,746,089.15/16,472.57
  6. Step 6: Final answer
    x = 12,308.10

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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.