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Finding the Fourth Proportional to 3,641.64, 5,463.68 and 1,449.78

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Solution

The fourth proportional to 3,641.64, 5,463.68 and 1,449.78 is: 2,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.64 : 5,463.68 = 1,449.78 : x
  2. Step 2: Convert to fraction form
    3,641.64/5,463.68 = 1,449.78/x
  3. Step 3: Cross multiply
    3,641.64x = 5,463.68 × 1,449.78
  4. Step 4: Simplify right side
    3,641.64x = 7,921,126.74
  5. Step 5: Solve for x
    x = 7,921,126.74/3,641.64
  6. Step 6: Final answer
    x = 2,175.15

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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.