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Finding the Fourth Proportional to 3,279.64, 4,908.12 and 2,687.80

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Solution

The fourth proportional to 3,279.64, 4,908.12 and 2,687.80 is: 4,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.64 : 4,908.12 = 2,687.80 : x
  2. Step 2: Convert to fraction form
    3,279.64/4,908.12 = 2,687.80/x
  3. Step 3: Cross multiply
    3,279.64x = 4,908.12 × 2,687.80
  4. Step 4: Simplify right side
    3,279.64x = 13,192,044.94
  5. Step 5: Solve for x
    x = 13,192,044.94/3,279.64
  6. Step 6: Final answer
    x = 4,022.41

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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.