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Finding the Fourth Proportional to 11,289, 16,933.82 and 3,081

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Solution

The fourth proportional to 11,289, 16,933.82 and 3,081 is: 4,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289 : 16,933.82 = 3,081 : x
  2. Step 2: Convert to fraction form
    11,289/16,933.82 = 3,081/x
  3. Step 3: Cross multiply
    11,289x = 16,933.82 × 3,081
  4. Step 4: Simplify right side
    11,289x = 52,173,099.42
  5. Step 5: Solve for x
    x = 52,173,099.42/11,289
  6. Step 6: Final answer
    x = 4,621.59

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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.