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Finding the Fourth Proportional to 8,163.83, 12,260.10 and 8,046.96

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Solution

The fourth proportional to 8,163.83, 12,260.10 and 8,046.96 is: 12,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.83 : 12,260.10 = 8,046.96 : x
  2. Step 2: Convert to fraction form
    8,163.83/12,260.10 = 8,046.96/x
  3. Step 3: Cross multiply
    8,163.83x = 12,260.10 × 8,046.96
  4. Step 4: Simplify right side
    8,163.83x = 98,656,534.30
  5. Step 5: Solve for x
    x = 98,656,534.30/8,163.83
  6. Step 6: Final answer
    x = 12,084.59

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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.