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Finding the Fourth Proportional to 3,863.43, 5,787.42 and 1,780.58

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Solution

The fourth proportional to 3,863.43, 5,787.42 and 1,780.58 is: 2,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.43 : 5,787.42 = 1,780.58 : x
  2. Step 2: Convert to fraction form
    3,863.43/5,787.42 = 1,780.58/x
  3. Step 3: Cross multiply
    3,863.43x = 5,787.42 × 1,780.58
  4. Step 4: Simplify right side
    3,863.43x = 10,304,972.09
  5. Step 5: Solve for x
    x = 10,304,972.09/3,863.43
  6. Step 6: Final answer
    x = 2,667.31

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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.