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Finding the Fourth Proportional to 13,691.96, 18,886.38 and 8,099

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Solution

The fourth proportional to 13,691.96, 18,886.38 and 8,099 is: 11,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.96 : 18,886.38 = 8,099 : x
  2. Step 2: Convert to fraction form
    13,691.96/18,886.38 = 8,099/x
  3. Step 3: Cross multiply
    13,691.96x = 18,886.38 × 8,099
  4. Step 4: Simplify right side
    13,691.96x = 152,960,791.62
  5. Step 5: Solve for x
    x = 152,960,791.62/13,691.96
  6. Step 6: Final answer
    x = 11,171.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.