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Finding the Fourth Proportional to 7,081.32, 9,772.09 and 3,894.73

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Solution

The fourth proportional to 7,081.32, 9,772.09 and 3,894.73 is: 5,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.32 : 9,772.09 = 3,894.73 : x
  2. Step 2: Convert to fraction form
    7,081.32/9,772.09 = 3,894.73/x
  3. Step 3: Cross multiply
    7,081.32x = 9,772.09 × 3,894.73
  4. Step 4: Simplify right side
    7,081.32x = 38,059,694.79
  5. Step 5: Solve for x
    x = 38,059,694.79/7,081.32
  6. Step 6: Final answer
    x = 5,374.66

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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.