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Finding the Fourth Proportional to 11,954.72, 17,932.98 and 3,189.44

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Solution

The fourth proportional to 11,954.72, 17,932.98 and 3,189.44 is: 4,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.72 : 17,932.98 = 3,189.44 : x
  2. Step 2: Convert to fraction form
    11,954.72/17,932.98 = 3,189.44/x
  3. Step 3: Cross multiply
    11,954.72x = 17,932.98 × 3,189.44
  4. Step 4: Simplify right side
    11,954.72x = 57,196,163.73
  5. Step 5: Solve for x
    x = 57,196,163.73/11,954.72
  6. Step 6: Final answer
    x = 4,784.40

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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.