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Finding the Fourth Proportional to 31,740.67, 47,613.89 and 8,367.11

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Solution

The fourth proportional to 31,740.67, 47,613.89 and 8,367.11 is: 12,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,740.67 : 47,613.89 = 8,367.11 : x
  2. Step 2: Convert to fraction form
    31,740.67/47,613.89 = 8,367.11/x
  3. Step 3: Cross multiply
    31,740.67x = 47,613.89 × 8,367.11
  4. Step 4: Simplify right side
    31,740.67x = 398,390,655.16
  5. Step 5: Solve for x
    x = 398,390,655.16/31,740.67
  6. Step 6: Final answer
    x = 12,551.43

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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.