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Finding the Fourth Proportional to 3,221.75, 4,832.63 and 789.75

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Solution

The fourth proportional to 3,221.75, 4,832.63 and 789.75 is: 1,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.75 : 4,832.63 = 789.75 : x
  2. Step 2: Convert to fraction form
    3,221.75/4,832.63 = 789.75/x
  3. Step 3: Cross multiply
    3,221.75x = 4,832.63 × 789.75
  4. Step 4: Simplify right side
    3,221.75x = 3,816,569.54
  5. Step 5: Solve for x
    x = 3,816,569.54/3,221.75
  6. Step 6: Final answer
    x = 1,184.63

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Similar ratio
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1.5x scale

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.