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Finding the Fourth Proportional to 2,821.19, 4,231.78 and 769.19

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Solution

The fourth proportional to 2,821.19, 4,231.78 and 769.19 is: 1,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.19 : 4,231.78 = 769.19 : x
  2. Step 2: Convert to fraction form
    2,821.19/4,231.78 = 769.19/x
  3. Step 3: Cross multiply
    2,821.19x = 4,231.78 × 769.19
  4. Step 4: Simplify right side
    2,821.19x = 3,255,034.20
  5. Step 5: Solve for x
    x = 3,255,034.20/2,821.19
  6. Step 6: Final answer
    x = 1,153.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.