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Finding the Fourth Proportional to 11,755.91, 17,634.14 and 2,990.90

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Solution

The fourth proportional to 11,755.91, 17,634.14 and 2,990.90 is: 4,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.91 : 17,634.14 = 2,990.90 : x
  2. Step 2: Convert to fraction form
    11,755.91/17,634.14 = 2,990.90/x
  3. Step 3: Cross multiply
    11,755.91x = 17,634.14 × 2,990.90
  4. Step 4: Simplify right side
    11,755.91x = 52,741,989.67
  5. Step 5: Solve for x
    x = 52,741,989.67/11,755.91
  6. Step 6: Final answer
    x = 4,486.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.