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Finding the Fourth Proportional to 38,488.50, 57,737.70 and 10,786.50

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Solution

The fourth proportional to 38,488.50, 57,737.70 and 10,786.50 is: 16,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,488.50 : 57,737.70 = 10,786.50 : x
  2. Step 2: Convert to fraction form
    38,488.50/57,737.70 = 10,786.50/x
  3. Step 3: Cross multiply
    38,488.50x = 57,737.70 × 10,786.50
  4. Step 4: Simplify right side
    38,488.50x = 622,787,701.05
  5. Step 5: Solve for x
    x = 622,787,701.05/38,488.50
  6. Step 6: Final answer
    x = 16,181.14

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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.