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Finding the Fourth Proportional to 27,682.56, 38,202.84 and 15,745.59

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Solution

The fourth proportional to 27,682.56, 38,202.84 and 15,745.59 is: 21,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.56 : 38,202.84 = 15,745.59 : x
  2. Step 2: Convert to fraction form
    27,682.56/38,202.84 = 15,745.59/x
  3. Step 3: Cross multiply
    27,682.56x = 38,202.84 × 15,745.59
  4. Step 4: Simplify right side
    27,682.56x = 601,526,255.48
  5. Step 5: Solve for x
    x = 601,526,255.48/27,682.56
  6. Step 6: Final answer
    x = 21,729.43

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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.