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Finding the Fourth Proportional to 20,225.44, 27,909.84 and 11,728

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Solution

The fourth proportional to 20,225.44, 27,909.84 and 11,728 is: 16,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.44 : 27,909.84 = 11,728 : x
  2. Step 2: Convert to fraction form
    20,225.44/27,909.84 = 11,728/x
  3. Step 3: Cross multiply
    20,225.44x = 27,909.84 × 11,728
  4. Step 4: Simplify right side
    20,225.44x = 327,326,603.52
  5. Step 5: Solve for x
    x = 327,326,603.52/20,225.44
  6. Step 6: Final answer
    x = 16,183.91

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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.