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Finding the Fourth Proportional to 7,992.48, 11,992 and 3,608.80

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Solution

The fourth proportional to 7,992.48, 11,992 and 3,608.80 is: 5,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.48 : 11,992 = 3,608.80 : x
  2. Step 2: Convert to fraction form
    7,992.48/11,992 = 3,608.80/x
  3. Step 3: Cross multiply
    7,992.48x = 11,992 × 3,608.80
  4. Step 4: Simplify right side
    7,992.48x = 43,276,729.60
  5. Step 5: Solve for x
    x = 43,276,729.60/7,992.48
  6. Step 6: Final answer
    x = 5,414.68

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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.