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Finding the Fourth Proportional to 3,858.20, 5,787.32 and 936.52

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Solution

The fourth proportional to 3,858.20, 5,787.32 and 936.52 is: 1,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.20 : 5,787.32 = 936.52 : x
  2. Step 2: Convert to fraction form
    3,858.20/5,787.32 = 936.52/x
  3. Step 3: Cross multiply
    3,858.20x = 5,787.32 × 936.52
  4. Step 4: Simplify right side
    3,858.20x = 5,419,940.93
  5. Step 5: Solve for x
    x = 5,419,940.93/3,858.20
  6. Step 6: Final answer
    x = 1,404.78

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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.