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Finding the Fourth Proportional to 3,171.62, 4,375.05 and 2,238.50

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Solution

The fourth proportional to 3,171.62, 4,375.05 and 2,238.50 is: 3,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.62 : 4,375.05 = 2,238.50 : x
  2. Step 2: Convert to fraction form
    3,171.62/4,375.05 = 2,238.50/x
  3. Step 3: Cross multiply
    3,171.62x = 4,375.05 × 2,238.50
  4. Step 4: Simplify right side
    3,171.62x = 9,793,549.43
  5. Step 5: Solve for x
    x = 9,793,549.43/3,171.62
  6. Step 6: Final answer
    x = 3,087.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.