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Finding the Fourth Proportional to 12,996.52, 17,937.97 and 8,213.42

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Solution

The fourth proportional to 12,996.52, 17,937.97 and 8,213.42 is: 11,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.52 : 17,937.97 = 8,213.42 : x
  2. Step 2: Convert to fraction form
    12,996.52/17,937.97 = 8,213.42/x
  3. Step 3: Cross multiply
    12,996.52x = 17,937.97 × 8,213.42
  4. Step 4: Simplify right side
    12,996.52x = 147,332,081.56
  5. Step 5: Solve for x
    x = 147,332,081.56/12,996.52
  6. Step 6: Final answer
    x = 11,336.27

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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.