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Finding the Fourth Proportional to 11,766.82, 16,223.67 and 8,408.41

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Solution

The fourth proportional to 11,766.82, 16,223.67 and 8,408.41 is: 11,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.82 : 16,223.67 = 8,408.41 : x
  2. Step 2: Convert to fraction form
    11,766.82/16,223.67 = 8,408.41/x
  3. Step 3: Cross multiply
    11,766.82x = 16,223.67 × 8,408.41
  4. Step 4: Simplify right side
    11,766.82x = 136,415,204.86
  5. Step 5: Solve for x
    x = 136,415,204.86/11,766.82
  6. Step 6: Final answer
    x = 11,593.21

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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.