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Finding the Fourth Proportional to 16,471.11, 22,728 and 9,397.11

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Solution

The fourth proportional to 16,471.11, 22,728 and 9,397.11 is: 12,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.11 : 22,728 = 9,397.11 : x
  2. Step 2: Convert to fraction form
    16,471.11/22,728 = 9,397.11/x
  3. Step 3: Cross multiply
    16,471.11x = 22,728 × 9,397.11
  4. Step 4: Simplify right side
    16,471.11x = 213,577,516.08
  5. Step 5: Solve for x
    x = 213,577,516.08/16,471.11
  6. Step 6: Final answer
    x = 12,966.80

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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.