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Finding the Fourth Proportional to 11,992, 17,989.28 and 3,226.88

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Solution

The fourth proportional to 11,992, 17,989.28 and 3,226.88 is: 4,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992 : 17,989.28 = 3,226.88 : x
  2. Step 2: Convert to fraction form
    11,992/17,989.28 = 3,226.88/x
  3. Step 3: Cross multiply
    11,992x = 17,989.28 × 3,226.88
  4. Step 4: Simplify right side
    11,992x = 58,049,247.85
  5. Step 5: Solve for x
    x = 58,049,247.85/11,992
  6. Step 6: Final answer
    x = 4,840.66

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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.