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Finding the Fourth Proportional to 2,489.97, 3,734.96 and 847.70

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Solution

The fourth proportional to 2,489.97, 3,734.96 and 847.70 is: 1,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.97 : 3,734.96 = 847.70 : x
  2. Step 2: Convert to fraction form
    2,489.97/3,734.96 = 847.70/x
  3. Step 3: Cross multiply
    2,489.97x = 3,734.96 × 847.70
  4. Step 4: Simplify right side
    2,489.97x = 3,166,102.68
  5. Step 5: Solve for x
    x = 3,166,102.68/2,489.97
  6. Step 6: Final answer
    x = 1,271.54

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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.