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Finding the Fourth Proportional to 2,462.25, 3,693.92 and 819.98

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Solution

The fourth proportional to 2,462.25, 3,693.92 and 819.98 is: 1,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.25 : 3,693.92 = 819.98 : x
  2. Step 2: Convert to fraction form
    2,462.25/3,693.92 = 819.98/x
  3. Step 3: Cross multiply
    2,462.25x = 3,693.92 × 819.98
  4. Step 4: Simplify right side
    2,462.25x = 3,028,917.95
  5. Step 5: Solve for x
    x = 3,028,917.95/2,462.25
  6. Step 6: Final answer
    x = 1,230.14

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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.