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Finding the Fourth Proportional to 2,052.84, 3,078.54 and 819.92

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Solution

The fourth proportional to 2,052.84, 3,078.54 and 819.92 is: 1,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.84 : 3,078.54 = 819.92 : x
  2. Step 2: Convert to fraction form
    2,052.84/3,078.54 = 819.92/x
  3. Step 3: Cross multiply
    2,052.84x = 3,078.54 × 819.92
  4. Step 4: Simplify right side
    2,052.84x = 2,524,164.21
  5. Step 5: Solve for x
    x = 2,524,164.21/2,052.84
  6. Step 6: Final answer
    x = 1,229.59

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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.