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Finding the Fourth Proportional to 7,049.49, 9,728.97 and 3,906.69

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Solution

The fourth proportional to 7,049.49, 9,728.97 and 3,906.69 is: 5,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.49 : 9,728.97 = 3,906.69 : x
  2. Step 2: Convert to fraction form
    7,049.49/9,728.97 = 3,906.69/x
  3. Step 3: Cross multiply
    7,049.49x = 9,728.97 × 3,906.69
  4. Step 4: Simplify right side
    7,049.49x = 38,008,069.81
  5. Step 5: Solve for x
    x = 38,008,069.81/7,049.49
  6. Step 6: Final answer
    x = 5,391.61

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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.