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Finding the Fourth Proportional to 2,711.50, 4,067.31 and 980.17

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Solution

The fourth proportional to 2,711.50, 4,067.31 and 980.17 is: 1,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.50 : 4,067.31 = 980.17 : x
  2. Step 2: Convert to fraction form
    2,711.50/4,067.31 = 980.17/x
  3. Step 3: Cross multiply
    2,711.50x = 4,067.31 × 980.17
  4. Step 4: Simplify right side
    2,711.50x = 3,986,655.24
  5. Step 5: Solve for x
    x = 3,986,655.24/2,711.50
  6. Step 6: Final answer
    x = 1,470.28

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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.