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Finding the Fourth Proportional to 8,141.86, 12,213.26 and 3,144.26

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Solution

The fourth proportional to 8,141.86, 12,213.26 and 3,144.26 is: 4,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.86 : 12,213.26 = 3,144.26 : x
  2. Step 2: Convert to fraction form
    8,141.86/12,213.26 = 3,144.26/x
  3. Step 3: Cross multiply
    8,141.86x = 12,213.26 × 3,144.26
  4. Step 4: Simplify right side
    8,141.86x = 38,401,588.10
  5. Step 5: Solve for x
    x = 38,401,588.10/8,141.86
  6. Step 6: Final answer
    x = 4,716.56

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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.