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Finding the Fourth Proportional to 3,614.79, 5,422.19 and 1,149.62

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Solution

The fourth proportional to 3,614.79, 5,422.19 and 1,149.62 is: 1,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.79 : 5,422.19 = 1,149.62 : x
  2. Step 2: Convert to fraction form
    3,614.79/5,422.19 = 1,149.62/x
  3. Step 3: Cross multiply
    3,614.79x = 5,422.19 × 1,149.62
  4. Step 4: Simplify right side
    3,614.79x = 6,233,425.21
  5. Step 5: Solve for x
    x = 6,233,425.21/3,614.79
  6. Step 6: Final answer
    x = 1,724.42

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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.