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Finding the Fourth Proportional to 2,757.52, 4,135.03 and 809.87

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Solution

The fourth proportional to 2,757.52, 4,135.03 and 809.87 is: 1,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.52 : 4,135.03 = 809.87 : x
  2. Step 2: Convert to fraction form
    2,757.52/4,135.03 = 809.87/x
  3. Step 3: Cross multiply
    2,757.52x = 4,135.03 × 809.87
  4. Step 4: Simplify right side
    2,757.52x = 3,348,836.75
  5. Step 5: Solve for x
    x = 3,348,836.75/2,757.52
  6. Step 6: Final answer
    x = 1,214.44

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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.