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Finding the Fourth Proportional to 7,660.80, 11,496.42 and 3,279.42

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Solution

The fourth proportional to 7,660.80, 11,496.42 and 3,279.42 is: 4,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.80 : 11,496.42 = 3,279.42 : x
  2. Step 2: Convert to fraction form
    7,660.80/11,496.42 = 3,279.42/x
  3. Step 3: Cross multiply
    7,660.80x = 11,496.42 × 3,279.42
  4. Step 4: Simplify right side
    7,660.80x = 37,701,589.68
  5. Step 5: Solve for x
    x = 37,701,589.68/7,660.80
  6. Step 6: Final answer
    x = 4,921.36

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1.5x scale

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.