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Finding the Fourth Proportional to 27,540.46, 41,254.80 and 12,728.80

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Solution

The fourth proportional to 27,540.46, 41,254.80 and 12,728.80 is: 19,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540.46 : 41,254.80 = 12,728.80 : x
  2. Step 2: Convert to fraction form
    27,540.46/41,254.80 = 12,728.80/x
  3. Step 3: Cross multiply
    27,540.46x = 41,254.80 × 12,728.80
  4. Step 4: Simplify right side
    27,540.46x = 525,124,098.24
  5. Step 5: Solve for x
    x = 525,124,098.24/27,540.46
  6. Step 6: Final answer
    x = 19,067.37

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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.