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Finding the Fourth Proportional to 2,462.94, 3,693.44 and 819.05

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Solution

The fourth proportional to 2,462.94, 3,693.44 and 819.05 is: 1,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.94 : 3,693.44 = 819.05 : x
  2. Step 2: Convert to fraction form
    2,462.94/3,693.44 = 819.05/x
  3. Step 3: Cross multiply
    2,462.94x = 3,693.44 × 819.05
  4. Step 4: Simplify right side
    2,462.94x = 3,025,095.61
  5. Step 5: Solve for x
    x = 3,025,095.61/2,462.94
  6. Step 6: Final answer
    x = 1,228.25

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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.