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Finding the Fourth Proportional to 5,310.38, 7,965.27 and 2,538.97

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Solution

The fourth proportional to 5,310.38, 7,965.27 and 2,538.97 is: 3,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.38 : 7,965.27 = 2,538.97 : x
  2. Step 2: Convert to fraction form
    5,310.38/7,965.27 = 2,538.97/x
  3. Step 3: Cross multiply
    5,310.38x = 7,965.27 × 2,538.97
  4. Step 4: Simplify right side
    5,310.38x = 20,223,529.05
  5. Step 5: Solve for x
    x = 20,223,529.05/5,310.38
  6. Step 6: Final answer
    x = 3,808.30

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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.