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Finding the Fourth Proportional to 2,387.64, 3,581.74 and 743.74

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Solution

The fourth proportional to 2,387.64, 3,581.74 and 743.74 is: 1,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.64 : 3,581.74 = 743.74 : x
  2. Step 2: Convert to fraction form
    2,387.64/3,581.74 = 743.74/x
  3. Step 3: Cross multiply
    2,387.64x = 3,581.74 × 743.74
  4. Step 4: Simplify right side
    2,387.64x = 2,663,883.31
  5. Step 5: Solve for x
    x = 2,663,883.31/2,387.64
  6. Step 6: Final answer
    x = 1,115.70

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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.