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Finding the Fourth Proportional to 8,200, 11,316 and 4,474

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Solution

The fourth proportional to 8,200, 11,316 and 4,474 is: 6,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200 : 11,316 = 4,474 : x
  2. Step 2: Convert to fraction form
    8,200/11,316 = 4,474/x
  3. Step 3: Cross multiply
    8,200x = 11,316 × 4,474
  4. Step 4: Simplify right side
    8,200x = 50,627,784
  5. Step 5: Solve for x
    x = 50,627,784/8,200
  6. Step 6: Final answer
    x = 6,174.12

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Why These Related Problems?

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