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Finding the Fourth Proportional to 3,377.75, 5,065.97 and 911.94

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Solution

The fourth proportional to 3,377.75, 5,065.97 and 911.94 is: 1,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.75 : 5,065.97 = 911.94 : x
  2. Step 2: Convert to fraction form
    3,377.75/5,065.97 = 911.94/x
  3. Step 3: Cross multiply
    3,377.75x = 5,065.97 × 911.94
  4. Step 4: Simplify right side
    3,377.75x = 4,619,856.12
  5. Step 5: Solve for x
    x = 4,619,856.12/3,377.75
  6. Step 6: Final answer
    x = 1,367.73

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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.