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Finding the Fourth Proportional to 3,447.39, 5,171.10 and 1,367.91

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Solution

The fourth proportional to 3,447.39, 5,171.10 and 1,367.91 is: 2,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.39 : 5,171.10 = 1,367.91 : x
  2. Step 2: Convert to fraction form
    3,447.39/5,171.10 = 1,367.91/x
  3. Step 3: Cross multiply
    3,447.39x = 5,171.10 × 1,367.91
  4. Step 4: Simplify right side
    3,447.39x = 7,073,599.40
  5. Step 5: Solve for x
    x = 7,073,599.40/3,447.39
  6. Step 6: Final answer
    x = 2,051.87

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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.