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Finding the Fourth Proportional to 16,424.38, 22,665.73 and 8,972.38

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Solution

The fourth proportional to 16,424.38, 22,665.73 and 8,972.38 is: 12,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.38 : 22,665.73 = 8,972.38 : x
  2. Step 2: Convert to fraction form
    16,424.38/22,665.73 = 8,972.38/x
  3. Step 3: Cross multiply
    16,424.38x = 22,665.73 × 8,972.38
  4. Step 4: Simplify right side
    16,424.38x = 203,365,429.21
  5. Step 5: Solve for x
    x = 203,365,429.21/16,424.38
  6. Step 6: Final answer
    x = 12,381.93

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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.