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Finding the Fourth Proportional to 33,721, 50,581.26 and 8,761

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Solution

The fourth proportional to 33,721, 50,581.26 and 8,761 is: 13,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,721 : 50,581.26 = 8,761 : x
  2. Step 2: Convert to fraction form
    33,721/50,581.26 = 8,761/x
  3. Step 3: Cross multiply
    33,721x = 50,581.26 × 8,761
  4. Step 4: Simplify right side
    33,721x = 443,142,418.86
  5. Step 5: Solve for x
    x = 443,142,418.86/33,721
  6. Step 6: Final answer
    x = 13,141.44

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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.