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Finding the Fourth Proportional to 22,261.50, 33,363.09 and 12,405.42

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Solution

The fourth proportional to 22,261.50, 33,363.09 and 12,405.42 is: 18,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261.50 : 33,363.09 = 12,405.42 : x
  2. Step 2: Convert to fraction form
    22,261.50/33,363.09 = 12,405.42/x
  3. Step 3: Cross multiply
    22,261.50x = 33,363.09 × 12,405.42
  4. Step 4: Simplify right side
    22,261.50x = 413,883,143.95
  5. Step 5: Solve for x
    x = 413,883,143.95/22,261.50
  6. Step 6: Final answer
    x = 18,591.88

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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.