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Finding the Fourth Proportional to 27,737.78, 38,189.49 and 22,450.10

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Solution

The fourth proportional to 27,737.78, 38,189.49 and 22,450.10 is: 30,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.78 : 38,189.49 = 22,450.10 : x
  2. Step 2: Convert to fraction form
    27,737.78/38,189.49 = 22,450.10/x
  3. Step 3: Cross multiply
    27,737.78x = 38,189.49 × 22,450.10
  4. Step 4: Simplify right side
    27,737.78x = 857,357,869.45
  5. Step 5: Solve for x
    x = 857,357,869.45/27,737.78
  6. Step 6: Final answer
    x = 30,909.39

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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.