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Finding the Fourth Proportional to 2,484.90, 3,727.82 and 819.12

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Solution

The fourth proportional to 2,484.90, 3,727.82 and 819.12 is: 1,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.90 : 3,727.82 = 819.12 : x
  2. Step 2: Convert to fraction form
    2,484.90/3,727.82 = 819.12/x
  3. Step 3: Cross multiply
    2,484.90x = 3,727.82 × 819.12
  4. Step 4: Simplify right side
    2,484.90x = 3,053,531.92
  5. Step 5: Solve for x
    x = 3,053,531.92/2,484.90
  6. Step 6: Final answer
    x = 1,228.83

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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.