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Finding the Fourth Proportional to 2,711.46, 4,067.18 and 659.46

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Solution

The fourth proportional to 2,711.46, 4,067.18 and 659.46 is: 989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.46 : 4,067.18 = 659.46 : x
  2. Step 2: Convert to fraction form
    2,711.46/4,067.18 = 659.46/x
  3. Step 3: Cross multiply
    2,711.46x = 4,067.18 × 659.46
  4. Step 4: Simplify right side
    2,711.46x = 2,682,142.52
  5. Step 5: Solve for x
    x = 2,682,142.52/2,711.46
  6. Step 6: Final answer
    x = 989.19

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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.