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Finding the Fourth Proportional to 3,408.78, 5,110.22 and 2,828.61

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Solution

The fourth proportional to 3,408.78, 5,110.22 and 2,828.61 is: 4,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.78 : 5,110.22 = 2,828.61 : x
  2. Step 2: Convert to fraction form
    3,408.78/5,110.22 = 2,828.61/x
  3. Step 3: Cross multiply
    3,408.78x = 5,110.22 × 2,828.61
  4. Step 4: Simplify right side
    3,408.78x = 14,454,805.25
  5. Step 5: Solve for x
    x = 14,454,805.25/3,408.78
  6. Step 6: Final answer
    x = 4,240.46

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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.