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Finding the Fourth Proportional to 7,750.80, 11,624.13 and 3,367.22

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Solution

The fourth proportional to 7,750.80, 11,624.13 and 3,367.22 is: 5,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.80 : 11,624.13 = 3,367.22 : x
  2. Step 2: Convert to fraction form
    7,750.80/11,624.13 = 3,367.22/x
  3. Step 3: Cross multiply
    7,750.80x = 11,624.13 × 3,367.22
  4. Step 4: Simplify right side
    7,750.80x = 39,140,944.90
  5. Step 5: Solve for x
    x = 39,140,944.90/7,750.80
  6. Step 6: Final answer
    x = 5,049.92

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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.