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Finding the Fourth Proportional to 11,924.54, 16,456.90 and 6,620.38

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Solution

The fourth proportional to 11,924.54, 16,456.90 and 6,620.38 is: 9,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.54 : 16,456.90 = 6,620.38 : x
  2. Step 2: Convert to fraction form
    11,924.54/16,456.90 = 6,620.38/x
  3. Step 3: Cross multiply
    11,924.54x = 16,456.90 × 6,620.38
  4. Step 4: Simplify right side
    11,924.54x = 108,950,931.62
  5. Step 5: Solve for x
    x = 108,950,931.62/11,924.54
  6. Step 6: Final answer
    x = 9,136.70

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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.