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Finding the Fourth Proportional to 3,872.78, 5,805.91 and 1,679.86

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Solution

The fourth proportional to 3,872.78, 5,805.91 and 1,679.86 is: 2,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.78 : 5,805.91 = 1,679.86 : x
  2. Step 2: Convert to fraction form
    3,872.78/5,805.91 = 1,679.86/x
  3. Step 3: Cross multiply
    3,872.78x = 5,805.91 × 1,679.86
  4. Step 4: Simplify right side
    3,872.78x = 9,753,093.06
  5. Step 5: Solve for x
    x = 9,753,093.06/3,872.78
  6. Step 6: Final answer
    x = 2,518.37

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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.