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Finding the Fourth Proportional to 16,387, 22,614.18 and 8,935

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Solution

The fourth proportional to 16,387, 22,614.18 and 8,935 is: 12,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,387 : 22,614.18 = 8,935 : x
  2. Step 2: Convert to fraction form
    16,387/22,614.18 = 8,935/x
  3. Step 3: Cross multiply
    16,387x = 22,614.18 × 8,935
  4. Step 4: Simplify right side
    16,387x = 202,057,698.30
  5. Step 5: Solve for x
    x = 202,057,698.30/16,387
  6. Step 6: Final answer
    x = 12,330.37

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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.