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Finding the Fourth Proportional to 6,540.75, 9,811.09 and 3,625.22

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Solution

The fourth proportional to 6,540.75, 9,811.09 and 3,625.22 is: 5,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.75 : 9,811.09 = 3,625.22 : x
  2. Step 2: Convert to fraction form
    6,540.75/9,811.09 = 3,625.22/x
  3. Step 3: Cross multiply
    6,540.75x = 9,811.09 × 3,625.22
  4. Step 4: Simplify right side
    6,540.75x = 35,567,388.75
  5. Step 5: Solve for x
    x = 35,567,388.75/6,540.75
  6. Step 6: Final answer
    x = 5,437.82

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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.