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Finding the Fourth Proportional to 11,229.84, 16,844.78 and 3,438.63

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Solution

The fourth proportional to 11,229.84, 16,844.78 and 3,438.63 is: 5,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.84 : 16,844.78 = 3,438.63 : x
  2. Step 2: Convert to fraction form
    11,229.84/16,844.78 = 3,438.63/x
  3. Step 3: Cross multiply
    11,229.84x = 16,844.78 × 3,438.63
  4. Step 4: Simplify right side
    11,229.84x = 57,922,965.85
  5. Step 5: Solve for x
    x = 57,922,965.85/11,229.84
  6. Step 6: Final answer
    x = 5,157.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.