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Finding the Fourth Proportional to 22,209.75, 30,649.47 and 12,273.75

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Solution

The fourth proportional to 22,209.75, 30,649.47 and 12,273.75 is: 16,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,209.75 : 30,649.47 = 12,273.75 : x
  2. Step 2: Convert to fraction form
    22,209.75/30,649.47 = 12,273.75/x
  3. Step 3: Cross multiply
    22,209.75x = 30,649.47 × 12,273.75
  4. Step 4: Simplify right side
    22,209.75x = 376,183,932.41
  5. Step 5: Solve for x
    x = 376,183,932.41/22,209.75
  6. Step 6: Final answer
    x = 16,937.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.