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Finding the Fourth Proportional to 11,755.80, 16,219.44 and 8,781.48

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Solution

The fourth proportional to 11,755.80, 16,219.44 and 8,781.48 is: 12,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.80 : 16,219.44 = 8,781.48 : x
  2. Step 2: Convert to fraction form
    11,755.80/16,219.44 = 8,781.48/x
  3. Step 3: Cross multiply
    11,755.80x = 16,219.44 × 8,781.48
  4. Step 4: Simplify right side
    11,755.80x = 142,430,687.97
  5. Step 5: Solve for x
    x = 142,430,687.97/11,755.80
  6. Step 6: Final answer
    x = 12,115.78

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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.