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Finding the Fourth Proportional to 2,711.62, 4,067.36 and 862.85

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Solution

The fourth proportional to 2,711.62, 4,067.36 and 862.85 is: 1,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.62 : 4,067.36 = 862.85 : x
  2. Step 2: Convert to fraction form
    2,711.62/4,067.36 = 862.85/x
  3. Step 3: Cross multiply
    2,711.62x = 4,067.36 × 862.85
  4. Step 4: Simplify right side
    2,711.62x = 3,509,505.36
  5. Step 5: Solve for x
    x = 3,509,505.36/2,711.62
  6. Step 6: Final answer
    x = 1,294.25

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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.