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Finding the Fourth Proportional to 31,745.72, 47,620.92 and 8,372

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Solution

The fourth proportional to 31,745.72, 47,620.92 and 8,372 is: 12,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.72 : 47,620.92 = 8,372 : x
  2. Step 2: Convert to fraction form
    31,745.72/47,620.92 = 8,372/x
  3. Step 3: Cross multiply
    31,745.72x = 47,620.92 × 8,372
  4. Step 4: Simplify right side
    31,745.72x = 398,682,342.24
  5. Step 5: Solve for x
    x = 398,682,342.24/31,745.72
  6. Step 6: Final answer
    x = 12,558.62

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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.