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Finding the Fourth Proportional to 25,745.48, 38,620.92 and 8,216

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Solution

The fourth proportional to 25,745.48, 38,620.92 and 8,216 is: 12,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,745.48 : 38,620.92 = 8,216 : x
  2. Step 2: Convert to fraction form
    25,745.48/38,620.92 = 8,216/x
  3. Step 3: Cross multiply
    25,745.48x = 38,620.92 × 8,216
  4. Step 4: Simplify right side
    25,745.48x = 317,309,478.72
  5. Step 5: Solve for x
    x = 317,309,478.72/25,745.48
  6. Step 6: Final answer
    x = 12,324.86

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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.