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Finding the Fourth Proportional to 7,228.92, 9,974.22 and 4,084.68

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Solution

The fourth proportional to 7,228.92, 9,974.22 and 4,084.68 is: 5,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.92 : 9,974.22 = 4,084.68 : x
  2. Step 2: Convert to fraction form
    7,228.92/9,974.22 = 4,084.68/x
  3. Step 3: Cross multiply
    7,228.92x = 9,974.22 × 4,084.68
  4. Step 4: Simplify right side
    7,228.92x = 40,741,496.95
  5. Step 5: Solve for x
    x = 40,741,496.95/7,228.92
  6. Step 6: Final answer
    x = 5,635.90

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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.