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Finding the Fourth Proportional to 8,102.82, 11,108.97 and 7,955.21

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Solution

The fourth proportional to 8,102.82, 11,108.97 and 7,955.21 is: 10,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.82 : 11,108.97 = 7,955.21 : x
  2. Step 2: Convert to fraction form
    8,102.82/11,108.97 = 7,955.21/x
  3. Step 3: Cross multiply
    8,102.82x = 11,108.97 × 7,955.21
  4. Step 4: Simplify right side
    8,102.82x = 88,374,133.69
  5. Step 5: Solve for x
    x = 88,374,133.69/8,102.82
  6. Step 6: Final answer
    x = 10,906.59

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.