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Finding the Fourth Proportional to 7,206.32, 9,944.16 and 4,221.76

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Solution

The fourth proportional to 7,206.32, 9,944.16 and 4,221.76 is: 5,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.32 : 9,944.16 = 4,221.76 : x
  2. Step 2: Convert to fraction form
    7,206.32/9,944.16 = 4,221.76/x
  3. Step 3: Cross multiply
    7,206.32x = 9,944.16 × 4,221.76
  4. Step 4: Simplify right side
    7,206.32x = 41,981,856.92
  5. Step 5: Solve for x
    x = 41,981,856.92/7,206.32
  6. Step 6: Final answer
    x = 5,825.70

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.