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Finding the Fourth Proportional to 3,857.64, 5,787.44 and 1,084.34

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Solution

The fourth proportional to 3,857.64, 5,787.44 and 1,084.34 is: 1,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.64 : 5,787.44 = 1,084.34 : x
  2. Step 2: Convert to fraction form
    3,857.64/5,787.44 = 1,084.34/x
  3. Step 3: Cross multiply
    3,857.64x = 5,787.44 × 1,084.34
  4. Step 4: Simplify right side
    3,857.64x = 6,275,552.69
  5. Step 5: Solve for x
    x = 6,275,552.69/3,857.64
  6. Step 6: Final answer
    x = 1,626.79

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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.