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Finding the Fourth Proportional to 5,609, 8,414.58 and 2,531

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Solution

The fourth proportional to 5,609, 8,414.58 and 2,531 is: 3,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609 : 8,414.58 = 2,531 : x
  2. Step 2: Convert to fraction form
    5,609/8,414.58 = 2,531/x
  3. Step 3: Cross multiply
    5,609x = 8,414.58 × 2,531
  4. Step 4: Simplify right side
    5,609x = 21,297,301.98
  5. Step 5: Solve for x
    x = 21,297,301.98/5,609
  6. Step 6: Final answer
    x = 3,796.99

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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.