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Finding the Fourth Proportional to 11,189, 16,785.12 and 3,397.82

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Solution

The fourth proportional to 11,189, 16,785.12 and 3,397.82 is: 5,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189 : 16,785.12 = 3,397.82 : x
  2. Step 2: Convert to fraction form
    11,189/16,785.12 = 3,397.82/x
  3. Step 3: Cross multiply
    11,189x = 16,785.12 × 3,397.82
  4. Step 4: Simplify right side
    11,189x = 57,032,816.44
  5. Step 5: Solve for x
    x = 57,032,816.44/11,189
  6. Step 6: Final answer
    x = 5,097.22

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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.