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Finding the Fourth Proportional to 3,279.75, 4,913.42 and 2,540.64

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Solution

The fourth proportional to 3,279.75, 4,913.42 and 2,540.64 is: 3,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.75 : 4,913.42 = 2,540.64 : x
  2. Step 2: Convert to fraction form
    3,279.75/4,913.42 = 2,540.64/x
  3. Step 3: Cross multiply
    3,279.75x = 4,913.42 × 2,540.64
  4. Step 4: Simplify right side
    3,279.75x = 12,483,218.69
  5. Step 5: Solve for x
    x = 12,483,218.69/3,279.75
  6. Step 6: Final answer
    x = 3,806.15

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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.