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Finding the Fourth Proportional to 11,986.56, 16,540.92 and 8,007.12

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Solution

The fourth proportional to 11,986.56, 16,540.92 and 8,007.12 is: 11,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.56 : 16,540.92 = 8,007.12 : x
  2. Step 2: Convert to fraction form
    11,986.56/16,540.92 = 8,007.12/x
  3. Step 3: Cross multiply
    11,986.56x = 16,540.92 × 8,007.12
  4. Step 4: Simplify right side
    11,986.56x = 132,445,131.35
  5. Step 5: Solve for x
    x = 132,445,131.35/11,986.56
  6. Step 6: Final answer
    x = 11,049.47

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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.