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Finding the Fourth Proportional to 16,484, 22,747.92 and 9,860

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Solution

The fourth proportional to 16,484, 22,747.92 and 9,860 is: 13,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484 : 22,747.92 = 9,860 : x
  2. Step 2: Convert to fraction form
    16,484/22,747.92 = 9,860/x
  3. Step 3: Cross multiply
    16,484x = 22,747.92 × 9,860
  4. Step 4: Simplify right side
    16,484x = 224,294,491.20
  5. Step 5: Solve for x
    x = 224,294,491.20/16,484
  6. Step 6: Final answer
    x = 13,606.80

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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.