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Finding the Fourth Proportional to 3,878.88, 5,812.16 and 2,581.12

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Solution

The fourth proportional to 3,878.88, 5,812.16 and 2,581.12 is: 3,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.88 : 5,812.16 = 2,581.12 : x
  2. Step 2: Convert to fraction form
    3,878.88/5,812.16 = 2,581.12/x
  3. Step 3: Cross multiply
    3,878.88x = 5,812.16 × 2,581.12
  4. Step 4: Simplify right side
    3,878.88x = 15,001,882.42
  5. Step 5: Solve for x
    x = 15,001,882.42/3,878.88
  6. Step 6: Final answer
    x = 3,867.58

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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.