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Finding the Fourth Proportional to 2,876.80, 4,310.40 and 1,902.40

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Solution

The fourth proportional to 2,876.80, 4,310.40 and 1,902.40 is: 2,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.80 : 4,310.40 = 1,902.40 : x
  2. Step 2: Convert to fraction form
    2,876.80/4,310.40 = 1,902.40/x
  3. Step 3: Cross multiply
    2,876.80x = 4,310.40 × 1,902.40
  4. Step 4: Simplify right side
    2,876.80x = 8,200,104.96
  5. Step 5: Solve for x
    x = 8,200,104.96/2,876.80
  6. Step 6: Final answer
    x = 2,850.43

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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.