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Finding the Fourth Proportional to 3,128.76, 4,314.87 and 2,079

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Solution

The fourth proportional to 3,128.76, 4,314.87 and 2,079 is: 2,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.76 : 4,314.87 = 2,079 : x
  2. Step 2: Convert to fraction form
    3,128.76/4,314.87 = 2,079/x
  3. Step 3: Cross multiply
    3,128.76x = 4,314.87 × 2,079
  4. Step 4: Simplify right side
    3,128.76x = 8,970,614.73
  5. Step 5: Solve for x
    x = 8,970,614.73/3,128.76
  6. Step 6: Final answer
    x = 2,867.15

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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.