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Finding the Fourth Proportional to 10,519.92, 15,781.80 and 8,166

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Solution

The fourth proportional to 10,519.92, 15,781.80 and 8,166 is: 12,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.92 : 15,781.80 = 8,166 : x
  2. Step 2: Convert to fraction form
    10,519.92/15,781.80 = 8,166/x
  3. Step 3: Cross multiply
    10,519.92x = 15,781.80 × 8,166
  4. Step 4: Simplify right side
    10,519.92x = 128,874,178.80
  5. Step 5: Solve for x
    x = 128,874,178.80/10,519.92
  6. Step 6: Final answer
    x = 12,250.49

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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.