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Finding the Fourth Proportional to 16,424, 22,665.12 and 8,972

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Solution

The fourth proportional to 16,424, 22,665.12 and 8,972 is: 12,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424 : 22,665.12 = 8,972 : x
  2. Step 2: Convert to fraction form
    16,424/22,665.12 = 8,972/x
  3. Step 3: Cross multiply
    16,424x = 22,665.12 × 8,972
  4. Step 4: Simplify right side
    16,424x = 203,351,456.64
  5. Step 5: Solve for x
    x = 203,351,456.64/16,424
  6. Step 6: Final answer
    x = 12,381.36

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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.