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Finding the Fourth Proportional to 3,227.92, 4,842.90 and 1,279

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Solution

The fourth proportional to 3,227.92, 4,842.90 and 1,279 is: 1,918.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.92 : 4,842.90 = 1,279 : x
  2. Step 2: Convert to fraction form
    3,227.92/4,842.90 = 1,279/x
  3. Step 3: Cross multiply
    3,227.92x = 4,842.90 × 1,279
  4. Step 4: Simplify right side
    3,227.92x = 6,194,069.10
  5. Step 5: Solve for x
    x = 6,194,069.10/3,227.92
  6. Step 6: Final answer
    x = 1,918.90

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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.