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Finding the Fourth Proportional to 3,286.98, 4,932.98 and 1,340.82

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Solution

The fourth proportional to 3,286.98, 4,932.98 and 1,340.82 is: 2,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.98 : 4,932.98 = 1,340.82 : x
  2. Step 2: Convert to fraction form
    3,286.98/4,932.98 = 1,340.82/x
  3. Step 3: Cross multiply
    3,286.98x = 4,932.98 × 1,340.82
  4. Step 4: Simplify right side
    3,286.98x = 6,614,238.24
  5. Step 5: Solve for x
    x = 6,614,238.24/3,286.98
  6. Step 6: Final answer
    x = 2,012.25

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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.