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Finding the Fourth Proportional to 8,331, 12,496.42 and 2,487.66

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Solution

The fourth proportional to 8,331, 12,496.42 and 2,487.66 is: 3,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331 : 12,496.42 = 2,487.66 : x
  2. Step 2: Convert to fraction form
    8,331/12,496.42 = 2,487.66/x
  3. Step 3: Cross multiply
    8,331x = 12,496.42 × 2,487.66
  4. Step 4: Simplify right side
    8,331x = 31,086,844.18
  5. Step 5: Solve for x
    x = 31,086,844.18/8,331
  6. Step 6: Final answer
    x = 3,731.47

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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.