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Finding the Fourth Proportional to 8,119.56, 12,181.84 and 3,959

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Solution

The fourth proportional to 8,119.56, 12,181.84 and 3,959 is: 5,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.56 : 12,181.84 = 3,959 : x
  2. Step 2: Convert to fraction form
    8,119.56/12,181.84 = 3,959/x
  3. Step 3: Cross multiply
    8,119.56x = 12,181.84 × 3,959
  4. Step 4: Simplify right side
    8,119.56x = 48,227,904.56
  5. Step 5: Solve for x
    x = 48,227,904.56/8,119.56
  6. Step 6: Final answer
    x = 5,939.72

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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.