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Finding the Fourth Proportional to 3,425.31, 5,138.20 and 1,203.88

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Solution

The fourth proportional to 3,425.31, 5,138.20 and 1,203.88 is: 1,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.31 : 5,138.20 = 1,203.88 : x
  2. Step 2: Convert to fraction form
    3,425.31/5,138.20 = 1,203.88/x
  3. Step 3: Cross multiply
    3,425.31x = 5,138.20 × 1,203.88
  4. Step 4: Simplify right side
    3,425.31x = 6,185,760.36
  5. Step 5: Solve for x
    x = 6,185,760.36/3,425.31
  6. Step 6: Final answer
    x = 1,805.90

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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.