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Finding the Fourth Proportional to 11,809.91, 17,713.38 and 3,489.77

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Solution

The fourth proportional to 11,809.91, 17,713.38 and 3,489.77 is: 5,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.91 : 17,713.38 = 3,489.77 : x
  2. Step 2: Convert to fraction form
    11,809.91/17,713.38 = 3,489.77/x
  3. Step 3: Cross multiply
    11,809.91x = 17,713.38 × 3,489.77
  4. Step 4: Simplify right side
    11,809.91x = 61,815,622.12
  5. Step 5: Solve for x
    x = 61,815,622.12/11,809.91
  6. Step 6: Final answer
    x = 5,234.22

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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.