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Finding the Fourth Proportional to 31,691.60, 47,524.64 and 11,959.42

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Solution

The fourth proportional to 31,691.60, 47,524.64 and 11,959.42 is: 17,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.60 : 47,524.64 = 11,959.42 : x
  2. Step 2: Convert to fraction form
    31,691.60/47,524.64 = 11,959.42/x
  3. Step 3: Cross multiply
    31,691.60x = 47,524.64 × 11,959.42
  4. Step 4: Simplify right side
    31,691.60x = 568,367,130.11
  5. Step 5: Solve for x
    x = 568,367,130.11/31,691.60
  6. Step 6: Final answer
    x = 17,934.31

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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.