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Finding the Fourth Proportional to 2,757.48, 4,137.08 and 809.68

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Solution

The fourth proportional to 2,757.48, 4,137.08 and 809.68 is: 1,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.48 : 4,137.08 = 809.68 : x
  2. Step 2: Convert to fraction form
    2,757.48/4,137.08 = 809.68/x
  3. Step 3: Cross multiply
    2,757.48x = 4,137.08 × 809.68
  4. Step 4: Simplify right side
    2,757.48x = 3,349,721.75
  5. Step 5: Solve for x
    x = 3,349,721.75/2,757.48
  6. Step 6: Final answer
    x = 1,214.78

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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.