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Finding the Fourth Proportional to 32,728, 49,092 and 8,104

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Solution

The fourth proportional to 32,728, 49,092 and 8,104 is: 12,156

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,728 : 49,092 = 8,104 : x
  2. Step 2: Convert to fraction form
    32,728/49,092 = 8,104/x
  3. Step 3: Cross multiply
    32,728x = 49,092 × 8,104
  4. Step 4: Simplify right side
    32,728x = 397,841,568
  5. Step 5: Solve for x
    x = 397,841,568/32,728
  6. Step 6: Final answer
    x = 12,156

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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.