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Finding the Fourth Proportional to 3,371.44, 5,057.10 and 1,319.44

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Solution

The fourth proportional to 3,371.44, 5,057.10 and 1,319.44 is: 1,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.44 : 5,057.10 = 1,319.44 : x
  2. Step 2: Convert to fraction form
    3,371.44/5,057.10 = 1,319.44/x
  3. Step 3: Cross multiply
    3,371.44x = 5,057.10 × 1,319.44
  4. Step 4: Simplify right side
    3,371.44x = 6,672,540.02
  5. Step 5: Solve for x
    x = 6,672,540.02/3,371.44
  6. Step 6: Final answer
    x = 1,979.14

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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.