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Finding the Fourth Proportional to 7,663.53, 11,492.87 and 3,279.81

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Solution

The fourth proportional to 7,663.53, 11,492.87 and 3,279.81 is: 4,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.53 : 11,492.87 = 3,279.81 : x
  2. Step 2: Convert to fraction form
    7,663.53/11,492.87 = 3,279.81/x
  3. Step 3: Cross multiply
    7,663.53x = 11,492.87 × 3,279.81
  4. Step 4: Simplify right side
    7,663.53x = 37,694,413.56
  5. Step 5: Solve for x
    x = 37,694,413.56/7,663.53
  6. Step 6: Final answer
    x = 4,918.68

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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.