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Finding the Fourth Proportional to 11,991, 17,983.12 and 7,179.24

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Solution

The fourth proportional to 11,991, 17,983.12 and 7,179.24 is: 10,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991 : 17,983.12 = 7,179.24 : x
  2. Step 2: Convert to fraction form
    11,991/17,983.12 = 7,179.24/x
  3. Step 3: Cross multiply
    11,991x = 17,983.12 × 7,179.24
  4. Step 4: Simplify right side
    11,991x = 129,105,134.43
  5. Step 5: Solve for x
    x = 129,105,134.43/11,991
  6. Step 6: Final answer
    x = 10,766.84

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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.