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Finding the Fourth Proportional to 1,711.97, 2,567.97 and 1,322.56

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Solution

The fourth proportional to 1,711.97, 2,567.97 and 1,322.56 is: 1,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.97 : 2,567.97 = 1,322.56 : x
  2. Step 2: Convert to fraction form
    1,711.97/2,567.97 = 1,322.56/x
  3. Step 3: Cross multiply
    1,711.97x = 2,567.97 × 1,322.56
  4. Step 4: Simplify right side
    1,711.97x = 3,396,297.61
  5. Step 5: Solve for x
    x = 3,396,297.61/1,711.97
  6. Step 6: Final answer
    x = 1,983.85

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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.