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Finding the Fourth Proportional to 3,279.77, 4,919.64 and 814.57

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Solution

The fourth proportional to 3,279.77, 4,919.64 and 814.57 is: 1,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.77 : 4,919.64 = 814.57 : x
  2. Step 2: Convert to fraction form
    3,279.77/4,919.64 = 814.57/x
  3. Step 3: Cross multiply
    3,279.77x = 4,919.64 × 814.57
  4. Step 4: Simplify right side
    3,279.77x = 4,007,394.25
  5. Step 5: Solve for x
    x = 4,007,394.25/3,279.77
  6. Step 6: Final answer
    x = 1,221.85

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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.