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Finding the Fourth Proportional to 3,858.25, 5,787.34 and 936.56

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Solution

The fourth proportional to 3,858.25, 5,787.34 and 936.56 is: 1,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.25 : 5,787.34 = 936.56 : x
  2. Step 2: Convert to fraction form
    3,858.25/5,787.34 = 936.56/x
  3. Step 3: Cross multiply
    3,858.25x = 5,787.34 × 936.56
  4. Step 4: Simplify right side
    3,858.25x = 5,420,159.87
  5. Step 5: Solve for x
    x = 5,420,159.87/3,858.25
  6. Step 6: Final answer
    x = 1,404.82

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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.