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Finding the Fourth Proportional to 10,805.31, 16,207.97 and 8,343.72

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Solution

The fourth proportional to 10,805.31, 16,207.97 and 8,343.72 is: 12,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.31 : 16,207.97 = 8,343.72 : x
  2. Step 2: Convert to fraction form
    10,805.31/16,207.97 = 8,343.72/x
  3. Step 3: Cross multiply
    10,805.31x = 16,207.97 × 8,343.72
  4. Step 4: Simplify right side
    10,805.31x = 135,234,721.73
  5. Step 5: Solve for x
    x = 135,234,721.73/10,805.31
  6. Step 6: Final answer
    x = 12,515.58

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Similar ratio
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1.5x scale

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.