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Finding the Fourth Proportional to 2,543.89, 3,815.84 and 789.28

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Solution

The fourth proportional to 2,543.89, 3,815.84 and 789.28 is: 1,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.89 : 3,815.84 = 789.28 : x
  2. Step 2: Convert to fraction form
    2,543.89/3,815.84 = 789.28/x
  3. Step 3: Cross multiply
    2,543.89x = 3,815.84 × 789.28
  4. Step 4: Simplify right side
    2,543.89x = 3,011,766.20
  5. Step 5: Solve for x
    x = 3,011,766.20/2,543.89
  6. Step 6: Final answer
    x = 1,183.92

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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.