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Finding the Fourth Proportional to 8,767.80, 12,090.60 and 6,876

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Solution

The fourth proportional to 8,767.80, 12,090.60 and 6,876 is: 9,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.80 : 12,090.60 = 6,876 : x
  2. Step 2: Convert to fraction form
    8,767.80/12,090.60 = 6,876/x
  3. Step 3: Cross multiply
    8,767.80x = 12,090.60 × 6,876
  4. Step 4: Simplify right side
    8,767.80x = 83,134,965.60
  5. Step 5: Solve for x
    x = 83,134,965.60/8,767.80
  6. Step 6: Final answer
    x = 9,481.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.