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Finding the Fourth Proportional to 2,379.54, 3,569.52 and 819.84

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Solution

The fourth proportional to 2,379.54, 3,569.52 and 819.84 is: 1,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.54 : 3,569.52 = 819.84 : x
  2. Step 2: Convert to fraction form
    2,379.54/3,569.52 = 819.84/x
  3. Step 3: Cross multiply
    2,379.54x = 3,569.52 × 819.84
  4. Step 4: Simplify right side
    2,379.54x = 2,926,435.28
  5. Step 5: Solve for x
    x = 2,926,435.28/2,379.54
  6. Step 6: Final answer
    x = 1,229.83

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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.