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Finding the Fourth Proportional to 7,982.16, 10,991.61 and 7,805.13

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Solution

The fourth proportional to 7,982.16, 10,991.61 and 7,805.13 is: 10,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.16 : 10,991.61 = 7,805.13 : x
  2. Step 2: Convert to fraction form
    7,982.16/10,991.61 = 7,805.13/x
  3. Step 3: Cross multiply
    7,982.16x = 10,991.61 × 7,805.13
  4. Step 4: Simplify right side
    7,982.16x = 85,790,944.96
  5. Step 5: Solve for x
    x = 85,790,944.96/7,982.16
  6. Step 6: Final answer
    x = 10,747.84

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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.