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Finding the Fourth Proportional to 2,581.76, 3,882 and 2,378.84

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Solution

The fourth proportional to 2,581.76, 3,882 and 2,378.84 is: 3,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.76 : 3,882 = 2,378.84 : x
  2. Step 2: Convert to fraction form
    2,581.76/3,882 = 2,378.84/x
  3. Step 3: Cross multiply
    2,581.76x = 3,882 × 2,378.84
  4. Step 4: Simplify right side
    2,581.76x = 9,234,656.88
  5. Step 5: Solve for x
    x = 9,234,656.88/2,581.76
  6. Step 6: Final answer
    x = 3,576.88

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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.