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Finding the Fourth Proportional to 2,691.50, 3,714.68 and 1,644.17

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Solution

The fourth proportional to 2,691.50, 3,714.68 and 1,644.17 is: 2,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.50 : 3,714.68 = 1,644.17 : x
  2. Step 2: Convert to fraction form
    2,691.50/3,714.68 = 1,644.17/x
  3. Step 3: Cross multiply
    2,691.50x = 3,714.68 × 1,644.17
  4. Step 4: Simplify right side
    2,691.50x = 6,107,565.42
  5. Step 5: Solve for x
    x = 6,107,565.42/2,691.50
  6. Step 6: Final answer
    x = 2,269.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.