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Finding the Fourth Proportional to 2,049.85, 3,074.82 and 817.84

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Solution

The fourth proportional to 2,049.85, 3,074.82 and 817.84 is: 1,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.85 : 3,074.82 = 817.84 : x
  2. Step 2: Convert to fraction form
    2,049.85/3,074.82 = 817.84/x
  3. Step 3: Cross multiply
    2,049.85x = 3,074.82 × 817.84
  4. Step 4: Simplify right side
    2,049.85x = 2,514,703.10
  5. Step 5: Solve for x
    x = 2,514,703.10/2,049.85
  6. Step 6: Final answer
    x = 1,226.78

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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.