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Finding the Fourth Proportional to 11,954.88, 17,932.32 and 4,163.76

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Solution

The fourth proportional to 11,954.88, 17,932.32 and 4,163.76 is: 6,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.88 : 17,932.32 = 4,163.76 : x
  2. Step 2: Convert to fraction form
    11,954.88/17,932.32 = 4,163.76/x
  3. Step 3: Cross multiply
    11,954.88x = 17,932.32 × 4,163.76
  4. Step 4: Simplify right side
    11,954.88x = 74,665,876.72
  5. Step 5: Solve for x
    x = 74,665,876.72/11,954.88
  6. Step 6: Final answer
    x = 6,245.64

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.