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Finding the Fourth Proportional to 7,658.75, 11,487.42 and 2,661.00

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Solution

The fourth proportional to 7,658.75, 11,487.42 and 2,661.00 is: 3,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.75 : 11,487.42 = 2,661.00 : x
  2. Step 2: Convert to fraction form
    7,658.75/11,487.42 = 2,661.00/x
  3. Step 3: Cross multiply
    7,658.75x = 11,487.42 × 2,661.00
  4. Step 4: Simplify right side
    7,658.75x = 30,568,046.16
  5. Step 5: Solve for x
    x = 30,568,046.16/7,658.75
  6. Step 6: Final answer
    x = 3,991.26

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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.