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Finding the Fourth Proportional to 6,738.73, 9,299.46 and 3,906.65

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Solution

The fourth proportional to 6,738.73, 9,299.46 and 3,906.65 is: 5,391.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.73 : 9,299.46 = 3,906.65 : x
  2. Step 2: Convert to fraction form
    6,738.73/9,299.46 = 3,906.65/x
  3. Step 3: Cross multiply
    6,738.73x = 9,299.46 × 3,906.65
  4. Step 4: Simplify right side
    6,738.73x = 36,329,735.41
  5. Step 5: Solve for x
    x = 36,329,735.41/6,738.73
  6. Step 6: Final answer
    x = 5,391.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.