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Finding the Fourth Proportional to 3,279.92, 4,919.91 and 1,028.45

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Solution

The fourth proportional to 3,279.92, 4,919.91 and 1,028.45 is: 1,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.92 : 4,919.91 = 1,028.45 : x
  2. Step 2: Convert to fraction form
    3,279.92/4,919.91 = 1,028.45/x
  3. Step 3: Cross multiply
    3,279.92x = 4,919.91 × 1,028.45
  4. Step 4: Simplify right side
    3,279.92x = 5,059,876.30
  5. Step 5: Solve for x
    x = 5,059,876.30/3,279.92
  6. Step 6: Final answer
    x = 1,542.69

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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.