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Finding the Fourth Proportional to 5,120.92, 7,067.22 and 2,883

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Solution

The fourth proportional to 5,120.92, 7,067.22 and 2,883 is: 3,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.92 : 7,067.22 = 2,883 : x
  2. Step 2: Convert to fraction form
    5,120.92/7,067.22 = 2,883/x
  3. Step 3: Cross multiply
    5,120.92x = 7,067.22 × 2,883
  4. Step 4: Simplify right side
    5,120.92x = 20,374,795.26
  5. Step 5: Solve for x
    x = 20,374,795.26/5,120.92
  6. Step 6: Final answer
    x = 3,978.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.