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Finding the Fourth Proportional to 7,660.65, 11,481.69 and 3,494.97

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Solution

The fourth proportional to 7,660.65, 11,481.69 and 3,494.97 is: 5,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.65 : 11,481.69 = 3,494.97 : x
  2. Step 2: Convert to fraction form
    7,660.65/11,481.69 = 3,494.97/x
  3. Step 3: Cross multiply
    7,660.65x = 11,481.69 × 3,494.97
  4. Step 4: Simplify right side
    7,660.65x = 40,128,162.10
  5. Step 5: Solve for x
    x = 40,128,162.10/7,660.65
  6. Step 6: Final answer
    x = 5,238.22

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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.