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Finding the Fourth Proportional to 2,464.87, 3,694.95 and 820.27

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Solution

The fourth proportional to 2,464.87, 3,694.95 and 820.27 is: 1,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.87 : 3,694.95 = 820.27 : x
  2. Step 2: Convert to fraction form
    2,464.87/3,694.95 = 820.27/x
  3. Step 3: Cross multiply
    2,464.87x = 3,694.95 × 820.27
  4. Step 4: Simplify right side
    2,464.87x = 3,030,856.64
  5. Step 5: Solve for x
    x = 3,030,856.64/2,464.87
  6. Step 6: Final answer
    x = 1,229.62

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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.