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Finding the Fourth Proportional to 11,690.78, 17,536.32 and 3,899.59

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Solution

The fourth proportional to 11,690.78, 17,536.32 and 3,899.59 is: 5,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.78 : 17,536.32 = 3,899.59 : x
  2. Step 2: Convert to fraction form
    11,690.78/17,536.32 = 3,899.59/x
  3. Step 3: Cross multiply
    11,690.78x = 17,536.32 × 3,899.59
  4. Step 4: Simplify right side
    11,690.78x = 68,384,458.11
  5. Step 5: Solve for x
    x = 68,384,458.11/11,690.78
  6. Step 6: Final answer
    x = 5,849.44

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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.