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Finding the Fourth Proportional to 11,691.15, 17,536.80 and 3,899.94

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Solution

The fourth proportional to 11,691.15, 17,536.80 and 3,899.94 is: 5,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.15 : 17,536.80 = 3,899.94 : x
  2. Step 2: Convert to fraction form
    11,691.15/17,536.80 = 3,899.94/x
  3. Step 3: Cross multiply
    11,691.15x = 17,536.80 × 3,899.94
  4. Step 4: Simplify right side
    11,691.15x = 68,392,467.79
  5. Step 5: Solve for x
    x = 68,392,467.79/11,691.15
  6. Step 6: Final answer
    x = 5,849.94

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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.