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Finding the Fourth Proportional to 8,311.50, 11,469.90 and 5,167.68

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Solution

The fourth proportional to 8,311.50, 11,469.90 and 5,167.68 is: 7,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.50 : 11,469.90 = 5,167.68 : x
  2. Step 2: Convert to fraction form
    8,311.50/11,469.90 = 5,167.68/x
  3. Step 3: Cross multiply
    8,311.50x = 11,469.90 × 5,167.68
  4. Step 4: Simplify right side
    8,311.50x = 59,272,772.83
  5. Step 5: Solve for x
    x = 59,272,772.83/8,311.50
  6. Step 6: Final answer
    x = 7,131.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.