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Finding the Fourth Proportional to 8,121.80, 12,181.80 and 2,278.64

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Solution

The fourth proportional to 8,121.80, 12,181.80 and 2,278.64 is: 3,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.80 : 12,181.80 = 2,278.64 : x
  2. Step 2: Convert to fraction form
    8,121.80/12,181.80 = 2,278.64/x
  3. Step 3: Cross multiply
    8,121.80x = 12,181.80 × 2,278.64
  4. Step 4: Simplify right side
    8,121.80x = 27,757,936.75
  5. Step 5: Solve for x
    x = 27,757,936.75/8,121.80
  6. Step 6: Final answer
    x = 3,417.71

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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.