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Finding the Fourth Proportional to 8,062.85, 11,996.72 and 7,861.97

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Solution

The fourth proportional to 8,062.85, 11,996.72 and 7,861.97 is: 11,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.85 : 11,996.72 = 7,861.97 : x
  2. Step 2: Convert to fraction form
    8,062.85/11,996.72 = 7,861.97/x
  3. Step 3: Cross multiply
    8,062.85x = 11,996.72 × 7,861.97
  4. Step 4: Simplify right side
    8,062.85x = 94,317,753.44
  5. Step 5: Solve for x
    x = 94,317,753.44/8,062.85
  6. Step 6: Final answer
    x = 11,697.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.