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Finding the Fourth Proportional to 8,105.20, 12,132.20 and 7,849.20

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Solution

The fourth proportional to 8,105.20, 12,132.20 and 7,849.20 is: 11,749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.20 : 12,132.20 = 7,849.20 : x
  2. Step 2: Convert to fraction form
    8,105.20/12,132.20 = 7,849.20/x
  3. Step 3: Cross multiply
    8,105.20x = 12,132.20 × 7,849.20
  4. Step 4: Simplify right side
    8,105.20x = 95,228,064.24
  5. Step 5: Solve for x
    x = 95,228,064.24/8,105.20
  6. Step 6: Final answer
    x = 11,749.01

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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.