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Finding the Fourth Proportional to 2,770.38, 3,819.63 and 2,327.31

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Solution

The fourth proportional to 2,770.38, 3,819.63 and 2,327.31 is: 3,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.38 : 3,819.63 = 2,327.31 : x
  2. Step 2: Convert to fraction form
    2,770.38/3,819.63 = 2,327.31/x
  3. Step 3: Cross multiply
    2,770.38x = 3,819.63 × 2,327.31
  4. Step 4: Simplify right side
    2,770.38x = 8,889,463.10
  5. Step 5: Solve for x
    x = 8,889,463.10/2,770.38
  6. Step 6: Final answer
    x = 3,208.75

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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.