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Finding the Fourth Proportional to 6,489.39, 9,734.63 and 3,908.73

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Solution

The fourth proportional to 6,489.39, 9,734.63 and 3,908.73 is: 5,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.39 : 9,734.63 = 3,908.73 : x
  2. Step 2: Convert to fraction form
    6,489.39/9,734.63 = 3,908.73/x
  3. Step 3: Cross multiply
    6,489.39x = 9,734.63 × 3,908.73
  4. Step 4: Simplify right side
    6,489.39x = 38,050,020.78
  5. Step 5: Solve for x
    x = 38,050,020.78/6,489.39
  6. Step 6: Final answer
    x = 5,863.42

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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.