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Finding the Fourth Proportional to 2,874.31, 4,310.79 and 1,832.79

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Solution

The fourth proportional to 2,874.31, 4,310.79 and 1,832.79 is: 2,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.31 : 4,310.79 = 1,832.79 : x
  2. Step 2: Convert to fraction form
    2,874.31/4,310.79 = 1,832.79/x
  3. Step 3: Cross multiply
    2,874.31x = 4,310.79 × 1,832.79
  4. Step 4: Simplify right side
    2,874.31x = 7,900,772.80
  5. Step 5: Solve for x
    x = 7,900,772.80/2,874.31
  6. Step 6: Final answer
    x = 2,748.75

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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.