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Finding the Fourth Proportional to 8,100.98, 12,149.09 and 4,149.80

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Solution

The fourth proportional to 8,100.98, 12,149.09 and 4,149.80 is: 6,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.98 : 12,149.09 = 4,149.80 : x
  2. Step 2: Convert to fraction form
    8,100.98/12,149.09 = 4,149.80/x
  3. Step 3: Cross multiply
    8,100.98x = 12,149.09 × 4,149.80
  4. Step 4: Simplify right side
    8,100.98x = 50,416,273.31
  5. Step 5: Solve for x
    x = 50,416,273.31/8,100.98
  6. Step 6: Final answer
    x = 6,223.48

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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.