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Finding the Fourth Proportional to 3,380.70, 5,069.13 and 1,431.90

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Solution

The fourth proportional to 3,380.70, 5,069.13 and 1,431.90 is: 2,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.70 : 5,069.13 = 1,431.90 : x
  2. Step 2: Convert to fraction form
    3,380.70/5,069.13 = 1,431.90/x
  3. Step 3: Cross multiply
    3,380.70x = 5,069.13 × 1,431.90
  4. Step 4: Simplify right side
    3,380.70x = 7,258,487.25
  5. Step 5: Solve for x
    x = 7,258,487.25/3,380.70
  6. Step 6: Final answer
    x = 2,147.04

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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.