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Finding the Fourth Proportional to 2,051.87, 3,078.27 and 819.45

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Solution

The fourth proportional to 2,051.87, 3,078.27 and 819.45 is: 1,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.87 : 3,078.27 = 819.45 : x
  2. Step 2: Convert to fraction form
    2,051.87/3,078.27 = 819.45/x
  3. Step 3: Cross multiply
    2,051.87x = 3,078.27 × 819.45
  4. Step 4: Simplify right side
    2,051.87x = 2,522,488.35
  5. Step 5: Solve for x
    x = 2,522,488.35/2,051.87
  6. Step 6: Final answer
    x = 1,229.36

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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.