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Finding the Fourth Proportional to 8,189.28, 12,221.28 and 7,313.76

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Solution

The fourth proportional to 8,189.28, 12,221.28 and 7,313.76 is: 10,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.28 : 12,221.28 = 7,313.76 : x
  2. Step 2: Convert to fraction form
    8,189.28/12,221.28 = 7,313.76/x
  3. Step 3: Cross multiply
    8,189.28x = 12,221.28 × 7,313.76
  4. Step 4: Simplify right side
    8,189.28x = 89,383,508.81
  5. Step 5: Solve for x
    x = 89,383,508.81/8,189.28
  6. Step 6: Final answer
    x = 10,914.70

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Double scale
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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.