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Finding the Fourth Proportional to 2,540.70, 3,810.92 and 809.19

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Solution

The fourth proportional to 2,540.70, 3,810.92 and 809.19 is: 1,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.70 : 3,810.92 = 809.19 : x
  2. Step 2: Convert to fraction form
    2,540.70/3,810.92 = 809.19/x
  3. Step 3: Cross multiply
    2,540.70x = 3,810.92 × 809.19
  4. Step 4: Simplify right side
    2,540.70x = 3,083,754.31
  5. Step 5: Solve for x
    x = 3,083,754.31/2,540.70
  6. Step 6: Final answer
    x = 1,213.74

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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.