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Finding the Fourth Proportional to 11,234.92, 16,839.26 and 8,452.65

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Solution

The fourth proportional to 11,234.92, 16,839.26 and 8,452.65 is: 12,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.92 : 16,839.26 = 8,452.65 : x
  2. Step 2: Convert to fraction form
    11,234.92/16,839.26 = 8,452.65/x
  3. Step 3: Cross multiply
    11,234.92x = 16,839.26 × 8,452.65
  4. Step 4: Simplify right side
    11,234.92x = 142,336,423.62
  5. Step 5: Solve for x
    x = 142,336,423.62/11,234.92
  6. Step 6: Final answer
    x = 12,669.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.