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Finding the Fourth Proportional to 12,167.28, 16,791 and 6,861.60

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Solution

The fourth proportional to 12,167.28, 16,791 and 6,861.60 is: 9,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.28 : 16,791 = 6,861.60 : x
  2. Step 2: Convert to fraction form
    12,167.28/16,791 = 6,861.60/x
  3. Step 3: Cross multiply
    12,167.28x = 16,791 × 6,861.60
  4. Step 4: Simplify right side
    12,167.28x = 115,213,125.60
  5. Step 5: Solve for x
    x = 115,213,125.60/12,167.28
  6. Step 6: Final answer
    x = 9,469.09

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1.5x scale

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.