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Finding the Fourth Proportional to 3,371.91, 5,057.87 and 1,424.13

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Solution

The fourth proportional to 3,371.91, 5,057.87 and 1,424.13 is: 2,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.91 : 5,057.87 = 1,424.13 : x
  2. Step 2: Convert to fraction form
    3,371.91/5,057.87 = 1,424.13/x
  3. Step 3: Cross multiply
    3,371.91x = 5,057.87 × 1,424.13
  4. Step 4: Simplify right side
    3,371.91x = 7,203,057.28
  5. Step 5: Solve for x
    x = 7,203,057.28/3,371.91
  6. Step 6: Final answer
    x = 2,136.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.