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Finding the Fourth Proportional to 3,147.88, 4,712.10 and 2,879.08

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Solution

The fourth proportional to 3,147.88, 4,712.10 and 2,879.08 is: 4,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.88 : 4,712.10 = 2,879.08 : x
  2. Step 2: Convert to fraction form
    3,147.88/4,712.10 = 2,879.08/x
  3. Step 3: Cross multiply
    3,147.88x = 4,712.10 × 2,879.08
  4. Step 4: Simplify right side
    3,147.88x = 13,566,512.87
  5. Step 5: Solve for x
    x = 13,566,512.87/3,147.88
  6. Step 6: Final answer
    x = 4,309.73

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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.