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Finding the Fourth Proportional to 8,487.75, 12,731.67 and 2,331.75

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Solution

The fourth proportional to 8,487.75, 12,731.67 and 2,331.75 is: 3,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.75 : 12,731.67 = 2,331.75 : x
  2. Step 2: Convert to fraction form
    8,487.75/12,731.67 = 2,331.75/x
  3. Step 3: Cross multiply
    8,487.75x = 12,731.67 × 2,331.75
  4. Step 4: Simplify right side
    8,487.75x = 29,687,071.52
  5. Step 5: Solve for x
    x = 29,687,071.52/8,487.75
  6. Step 6: Final answer
    x = 3,497.64

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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.