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Finding the Fourth Proportional to 3,279.78, 4,909.92 and 3,275.46

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Solution

The fourth proportional to 3,279.78, 4,909.92 and 3,275.46 is: 4,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.78 : 4,909.92 = 3,275.46 : x
  2. Step 2: Convert to fraction form
    3,279.78/4,909.92 = 3,275.46/x
  3. Step 3: Cross multiply
    3,279.78x = 4,909.92 × 3,275.46
  4. Step 4: Simplify right side
    3,279.78x = 16,082,246.56
  5. Step 5: Solve for x
    x = 16,082,246.56/3,279.78
  6. Step 6: Final answer
    x = 4,903.45

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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.