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Finding the Fourth Proportional to 8,212.74, 11,408.05 and 8,085.55

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Solution

The fourth proportional to 8,212.74, 11,408.05 and 8,085.55 is: 11,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.74 : 11,408.05 = 8,085.55 : x
  2. Step 2: Convert to fraction form
    8,212.74/11,408.05 = 8,085.55/x
  3. Step 3: Cross multiply
    8,212.74x = 11,408.05 × 8,085.55
  4. Step 4: Simplify right side
    8,212.74x = 92,240,358.68
  5. Step 5: Solve for x
    x = 92,240,358.68/8,212.74
  6. Step 6: Final answer
    x = 11,231.37

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Half scale
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Double scale
Find fourth proportional to 8,213.74, 11,409.44 and 8,086.55
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.