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Finding the Fourth Proportional to 31,853, 47,791.68 and 11,874.72

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Solution

The fourth proportional to 31,853, 47,791.68 and 11,874.72 is: 17,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853 : 47,791.68 = 11,874.72 : x
  2. Step 2: Convert to fraction form
    31,853/47,791.68 = 11,874.72/x
  3. Step 3: Cross multiply
    31,853x = 47,791.68 × 11,874.72
  4. Step 4: Simplify right side
    31,853x = 567,512,818.33
  5. Step 5: Solve for x
    x = 567,512,818.33/31,853
  6. Step 6: Final answer
    x = 17,816.62

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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.