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Finding the Fourth Proportional to 8,167.28, 11,266.56 and 6,174.36

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Solution

The fourth proportional to 8,167.28, 11,266.56 and 6,174.36 is: 8,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.28 : 11,266.56 = 6,174.36 : x
  2. Step 2: Convert to fraction form
    8,167.28/11,266.56 = 6,174.36/x
  3. Step 3: Cross multiply
    8,167.28x = 11,266.56 × 6,174.36
  4. Step 4: Simplify right side
    8,167.28x = 69,563,797.40
  5. Step 5: Solve for x
    x = 69,563,797.40/8,167.28
  6. Step 6: Final answer
    x = 8,517.38

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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.