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Finding the Fourth Proportional to 11,399, 17,099.46 and 3,191

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Solution

The fourth proportional to 11,399, 17,099.46 and 3,191 is: 4,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399 : 17,099.46 = 3,191 : x
  2. Step 2: Convert to fraction form
    11,399/17,099.46 = 3,191/x
  3. Step 3: Cross multiply
    11,399x = 17,099.46 × 3,191
  4. Step 4: Simplify right side
    11,399x = 54,564,376.86
  5. Step 5: Solve for x
    x = 54,564,376.86/11,399
  6. Step 6: Final answer
    x = 4,786.77

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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.