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Finding the Fourth Proportional to 3,752.43, 5,627.96 and 1,286.88

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Solution

The fourth proportional to 3,752.43, 5,627.96 and 1,286.88 is: 1,930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.43 : 5,627.96 = 1,286.88 : x
  2. Step 2: Convert to fraction form
    3,752.43/5,627.96 = 1,286.88/x
  3. Step 3: Cross multiply
    3,752.43x = 5,627.96 × 1,286.88
  4. Step 4: Simplify right side
    3,752.43x = 7,242,502.73
  5. Step 5: Solve for x
    x = 7,242,502.73/3,752.43
  6. Step 6: Final answer
    x = 1,930.08

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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.