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Finding the Fourth Proportional to 22,138.50, 30,553.05 and 12,204.42

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Solution

The fourth proportional to 22,138.50, 30,553.05 and 12,204.42 is: 16,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.50 : 30,553.05 = 12,204.42 : x
  2. Step 2: Convert to fraction form
    22,138.50/30,553.05 = 12,204.42/x
  3. Step 3: Cross multiply
    22,138.50x = 30,553.05 × 12,204.42
  4. Step 4: Simplify right side
    22,138.50x = 372,882,254.48
  5. Step 5: Solve for x
    x = 372,882,254.48/22,138.50
  6. Step 6: Final answer
    x = 16,843.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.