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Finding the Fourth Proportional to 3,977.28, 5,976 and 2,517.12

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Solution

The fourth proportional to 3,977.28, 5,976 and 2,517.12 is: 3,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.28 : 5,976 = 2,517.12 : x
  2. Step 2: Convert to fraction form
    3,977.28/5,976 = 2,517.12/x
  3. Step 3: Cross multiply
    3,977.28x = 5,976 × 2,517.12
  4. Step 4: Simplify right side
    3,977.28x = 15,042,309.12
  5. Step 5: Solve for x
    x = 15,042,309.12/3,977.28
  6. Step 6: Final answer
    x = 3,782.06

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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.