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Finding the Fourth Proportional to 2,051.90, 3,079.08 and 819.12

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Solution

The fourth proportional to 2,051.90, 3,079.08 and 819.12 is: 1,229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.90 : 3,079.08 = 819.12 : x
  2. Step 2: Convert to fraction form
    2,051.90/3,079.08 = 819.12/x
  3. Step 3: Cross multiply
    2,051.90x = 3,079.08 × 819.12
  4. Step 4: Simplify right side
    2,051.90x = 2,522,147.56
  5. Step 5: Solve for x
    x = 2,522,147.56/2,051.90
  6. Step 6: Final answer
    x = 1,229.18

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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.