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Finding the Fourth Proportional to 8,131.97, 12,218.48 and 7,803.92

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Solution

The fourth proportional to 8,131.97, 12,218.48 and 7,803.92 is: 11,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.97 : 12,218.48 = 7,803.92 : x
  2. Step 2: Convert to fraction form
    8,131.97/12,218.48 = 7,803.92/x
  3. Step 3: Cross multiply
    8,131.97x = 12,218.48 × 7,803.92
  4. Step 4: Simplify right side
    8,131.97x = 95,351,940.33
  5. Step 5: Solve for x
    x = 95,351,940.33/8,131.97
  6. Step 6: Final answer
    x = 11,725.57

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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.