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Finding the Fourth Proportional to 15,251.82, 22,861.92 and 7,839.78

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Solution

The fourth proportional to 15,251.82, 22,861.92 and 7,839.78 is: 11,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,251.82 : 22,861.92 = 7,839.78 : x
  2. Step 2: Convert to fraction form
    15,251.82/22,861.92 = 7,839.78/x
  3. Step 3: Cross multiply
    15,251.82x = 22,861.92 × 7,839.78
  4. Step 4: Simplify right side
    15,251.82x = 179,232,423.18
  5. Step 5: Solve for x
    x = 179,232,423.18/15,251.82
  6. Step 6: Final answer
    x = 11,751.54

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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.