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Finding the Fourth Proportional to 3,367, 5,049.72 and 1,286.26

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Solution

The fourth proportional to 3,367, 5,049.72 and 1,286.26 is: 1,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367 : 5,049.72 = 1,286.26 : x
  2. Step 2: Convert to fraction form
    3,367/5,049.72 = 1,286.26/x
  3. Step 3: Cross multiply
    3,367x = 5,049.72 × 1,286.26
  4. Step 4: Simplify right side
    3,367x = 6,495,252.85
  5. Step 5: Solve for x
    x = 6,495,252.85/3,367
  6. Step 6: Final answer
    x = 1,929.09

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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.