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Finding the Fourth Proportional to 22,520.34, 33,781.21 and 7,729.07

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Solution

The fourth proportional to 22,520.34, 33,781.21 and 7,729.07 is: 11,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.34 : 33,781.21 = 7,729.07 : x
  2. Step 2: Convert to fraction form
    22,520.34/33,781.21 = 7,729.07/x
  3. Step 3: Cross multiply
    22,520.34x = 33,781.21 × 7,729.07
  4. Step 4: Simplify right side
    22,520.34x = 261,097,336.77
  5. Step 5: Solve for x
    x = 261,097,336.77/22,520.34
  6. Step 6: Final answer
    x = 11,593.85

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1.5x scale

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.