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Finding the Fourth Proportional to 13,641.78, 20,469.66 and 8,027.61

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Solution

The fourth proportional to 13,641.78, 20,469.66 and 8,027.61 is: 12,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.78 : 20,469.66 = 8,027.61 : x
  2. Step 2: Convert to fraction form
    13,641.78/20,469.66 = 8,027.61/x
  3. Step 3: Cross multiply
    13,641.78x = 20,469.66 × 8,027.61
  4. Step 4: Simplify right side
    13,641.78x = 164,322,447.31
  5. Step 5: Solve for x
    x = 164,322,447.31/13,641.78
  6. Step 6: Final answer
    x = 12,045.53

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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.