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Finding the Fourth Proportional to 3,857.58, 5,787.18 and 1,262.34

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Solution

The fourth proportional to 3,857.58, 5,787.18 and 1,262.34 is: 1,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.58 : 5,787.18 = 1,262.34 : x
  2. Step 2: Convert to fraction form
    3,857.58/5,787.18 = 1,262.34/x
  3. Step 3: Cross multiply
    3,857.58x = 5,787.18 × 1,262.34
  4. Step 4: Simplify right side
    3,857.58x = 7,305,388.80
  5. Step 5: Solve for x
    x = 7,305,388.80/3,857.58
  6. Step 6: Final answer
    x = 1,893.78

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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.