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Finding the Fourth Proportional to 3,722.70, 5,584.08 and 1,414.20

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Solution

The fourth proportional to 3,722.70, 5,584.08 and 1,414.20 is: 2,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.70 : 5,584.08 = 1,414.20 : x
  2. Step 2: Convert to fraction form
    3,722.70/5,584.08 = 1,414.20/x
  3. Step 3: Cross multiply
    3,722.70x = 5,584.08 × 1,414.20
  4. Step 4: Simplify right side
    3,722.70x = 7,897,005.94
  5. Step 5: Solve for x
    x = 7,897,005.94/3,722.70
  6. Step 6: Final answer
    x = 2,121.31

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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.