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Finding the Fourth Proportional to 18,667.26, 27,987 and 8,135.28

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Solution

The fourth proportional to 18,667.26, 27,987 and 8,135.28 is: 12,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,667.26 : 27,987 = 8,135.28 : x
  2. Step 2: Convert to fraction form
    18,667.26/27,987 = 8,135.28/x
  3. Step 3: Cross multiply
    18,667.26x = 27,987 × 8,135.28
  4. Step 4: Simplify right side
    18,667.26x = 227,682,081.36
  5. Step 5: Solve for x
    x = 227,682,081.36/18,667.26
  6. Step 6: Final answer
    x = 12,196.87

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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.