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Finding the Fourth Proportional to 8,086.20, 11,146.20 and 7,408.20

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Solution

The fourth proportional to 8,086.20, 11,146.20 and 7,408.20 is: 10,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.20 : 11,146.20 = 7,408.20 : x
  2. Step 2: Convert to fraction form
    8,086.20/11,146.20 = 7,408.20/x
  3. Step 3: Cross multiply
    8,086.20x = 11,146.20 × 7,408.20
  4. Step 4: Simplify right side
    8,086.20x = 82,573,278.84
  5. Step 5: Solve for x
    x = 82,573,278.84/8,086.20
  6. Step 6: Final answer
    x = 10,211.63

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Half scale
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Double scale
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Similar ratio
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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.