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Finding the Fourth Proportional to 6,658.75, 9,979.64 and 3,540.25

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Solution

The fourth proportional to 6,658.75, 9,979.64 and 3,540.25 is: 5,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.75 : 9,979.64 = 3,540.25 : x
  2. Step 2: Convert to fraction form
    6,658.75/9,979.64 = 3,540.25/x
  3. Step 3: Cross multiply
    6,658.75x = 9,979.64 × 3,540.25
  4. Step 4: Simplify right side
    6,658.75x = 35,330,400.49
  5. Step 5: Solve for x
    x = 35,330,400.49/6,658.75
  6. Step 6: Final answer
    x = 5,305.86

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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.