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Finding the Fourth Proportional to 3,427, 5,141.22 and 1,375

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Solution

The fourth proportional to 3,427, 5,141.22 and 1,375 is: 2,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427 : 5,141.22 = 1,375 : x
  2. Step 2: Convert to fraction form
    3,427/5,141.22 = 1,375/x
  3. Step 3: Cross multiply
    3,427x = 5,141.22 × 1,375
  4. Step 4: Simplify right side
    3,427x = 7,069,177.50
  5. Step 5: Solve for x
    x = 7,069,177.50/3,427
  6. Step 6: Final answer
    x = 2,062.79

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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.