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Finding the Fourth Proportional to 31,992.02, 47,982.60 and 8,613.26

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Solution

The fourth proportional to 31,992.02, 47,982.60 and 8,613.26 is: 12,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.02 : 47,982.60 = 8,613.26 : x
  2. Step 2: Convert to fraction form
    31,992.02/47,982.60 = 8,613.26/x
  3. Step 3: Cross multiply
    31,992.02x = 47,982.60 × 8,613.26
  4. Step 4: Simplify right side
    31,992.02x = 413,286,609.28
  5. Step 5: Solve for x
    x = 413,286,609.28/31,992.02
  6. Step 6: Final answer
    x = 12,918.43

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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.