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Finding the Fourth Proportional to 22,522.50, 33,777.68 and 8,481.56

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Solution

The fourth proportional to 22,522.50, 33,777.68 and 8,481.56 is: 12,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.50 : 33,777.68 = 8,481.56 : x
  2. Step 2: Convert to fraction form
    22,522.50/33,777.68 = 8,481.56/x
  3. Step 3: Cross multiply
    22,522.50x = 33,777.68 × 8,481.56
  4. Step 4: Simplify right side
    22,522.50x = 286,487,208.28
  5. Step 5: Solve for x
    x = 286,487,208.28/22,522.50
  6. Step 6: Final answer
    x = 12,720.04

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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.