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Finding the Fourth Proportional to 8,380.99, 12,571.09 and 2,834.56

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Solution

The fourth proportional to 8,380.99, 12,571.09 and 2,834.56 is: 4,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.99 : 12,571.09 = 2,834.56 : x
  2. Step 2: Convert to fraction form
    8,380.99/12,571.09 = 2,834.56/x
  3. Step 3: Cross multiply
    8,380.99x = 12,571.09 × 2,834.56
  4. Step 4: Simplify right side
    8,380.99x = 35,633,508.87
  5. Step 5: Solve for x
    x = 35,633,508.87/8,380.99
  6. Step 6: Final answer
    x = 4,251.71

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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.