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Finding the Fourth Proportional to 8,081.44, 11,123.92 and 7,228.56

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Solution

The fourth proportional to 8,081.44, 11,123.92 and 7,228.56 is: 9,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.44 : 11,123.92 = 7,228.56 : x
  2. Step 2: Convert to fraction form
    8,081.44/11,123.92 = 7,228.56/x
  3. Step 3: Cross multiply
    8,081.44x = 11,123.92 × 7,228.56
  4. Step 4: Simplify right side
    8,081.44x = 80,409,923.16
  5. Step 5: Solve for x
    x = 80,409,923.16/8,081.44
  6. Step 6: Final answer
    x = 9,949.95

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Half scale
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Double scale
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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.