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Finding the Fourth Proportional to 11,882, 16,401.48 and 8,166.80

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Solution

The fourth proportional to 11,882, 16,401.48 and 8,166.80 is: 11,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882 : 16,401.48 = 8,166.80 : x
  2. Step 2: Convert to fraction form
    11,882/16,401.48 = 8,166.80/x
  3. Step 3: Cross multiply
    11,882x = 16,401.48 × 8,166.80
  4. Step 4: Simplify right side
    11,882x = 133,947,606.86
  5. Step 5: Solve for x
    x = 133,947,606.86/11,882
  6. Step 6: Final answer
    x = 11,273.15

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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.