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Finding the Fourth Proportional to 11,690.29, 17,536.34 and 3,899.09

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Solution

The fourth proportional to 11,690.29, 17,536.34 and 3,899.09 is: 5,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.29 : 17,536.34 = 3,899.09 : x
  2. Step 2: Convert to fraction form
    11,690.29/17,536.34 = 3,899.09/x
  3. Step 3: Cross multiply
    11,690.29x = 17,536.34 × 3,899.09
  4. Step 4: Simplify right side
    11,690.29x = 68,375,767.93
  5. Step 5: Solve for x
    x = 68,375,767.93/11,690.29
  6. Step 6: Final answer
    x = 5,848.94

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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.