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Finding the Fourth Proportional to 7,469.86, 11,174 and 6,138.62

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Solution

The fourth proportional to 7,469.86, 11,174 and 6,138.62 is: 9,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.86 : 11,174 = 6,138.62 : x
  2. Step 2: Convert to fraction form
    7,469.86/11,174 = 6,138.62/x
  3. Step 3: Cross multiply
    7,469.86x = 11,174 × 6,138.62
  4. Step 4: Simplify right side
    7,469.86x = 68,592,939.88
  5. Step 5: Solve for x
    x = 68,592,939.88/7,469.86
  6. Step 6: Final answer
    x = 9,182.63

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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.