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Finding the Fourth Proportional to 20,540.47, 30,807 and 5,745.73

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Solution

The fourth proportional to 20,540.47, 30,807 and 5,745.73 is: 8,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.47 : 30,807 = 5,745.73 : x
  2. Step 2: Convert to fraction form
    20,540.47/30,807 = 5,745.73/x
  3. Step 3: Cross multiply
    20,540.47x = 30,807 × 5,745.73
  4. Step 4: Simplify right side
    20,540.47x = 177,008,704.11
  5. Step 5: Solve for x
    x = 177,008,704.11/20,540.47
  6. Step 6: Final answer
    x = 8,617.56

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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.