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Finding the Fourth Proportional to 6,661.56, 9,989.43 and 3,540.82

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Solution

The fourth proportional to 6,661.56, 9,989.43 and 3,540.82 is: 5,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.56 : 9,989.43 = 3,540.82 : x
  2. Step 2: Convert to fraction form
    6,661.56/9,989.43 = 3,540.82/x
  3. Step 3: Cross multiply
    6,661.56x = 9,989.43 × 3,540.82
  4. Step 4: Simplify right side
    6,661.56x = 35,370,773.53
  5. Step 5: Solve for x
    x = 35,370,773.53/6,661.56
  6. Step 6: Final answer
    x = 5,309.68

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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.