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Finding the Fourth Proportional to 7,661.73, 11,493.23 and 3,279.23

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Solution

The fourth proportional to 7,661.73, 11,493.23 and 3,279.23 is: 4,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.73 : 11,493.23 = 3,279.23 : x
  2. Step 2: Convert to fraction form
    7,661.73/11,493.23 = 3,279.23/x
  3. Step 3: Cross multiply
    7,661.73x = 11,493.23 × 3,279.23
  4. Step 4: Simplify right side
    7,661.73x = 37,688,944.61
  5. Step 5: Solve for x
    x = 37,688,944.61/7,661.73
  6. Step 6: Final answer
    x = 4,919.12

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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.