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Finding the Fourth Proportional to 7,911.57, 11,869.56 and 3,469.65

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Solution

The fourth proportional to 7,911.57, 11,869.56 and 3,469.65 is: 5,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.57 : 11,869.56 = 3,469.65 : x
  2. Step 2: Convert to fraction form
    7,911.57/11,869.56 = 3,469.65/x
  3. Step 3: Cross multiply
    7,911.57x = 11,869.56 × 3,469.65
  4. Step 4: Simplify right side
    7,911.57x = 41,183,218.85
  5. Step 5: Solve for x
    x = 41,183,218.85/7,911.57
  6. Step 6: Final answer
    x = 5,205.44

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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.