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Finding the Fourth Proportional to 2,286.80, 3,409.42 and 2,229.92

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Solution

The fourth proportional to 2,286.80, 3,409.42 and 2,229.92 is: 3,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.80 : 3,409.42 = 2,229.92 : x
  2. Step 2: Convert to fraction form
    2,286.80/3,409.42 = 2,229.92/x
  3. Step 3: Cross multiply
    2,286.80x = 3,409.42 × 2,229.92
  4. Step 4: Simplify right side
    2,286.80x = 7,602,733.85
  5. Step 5: Solve for x
    x = 7,602,733.85/2,286.80
  6. Step 6: Final answer
    x = 3,324.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.