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Finding the Fourth Proportional to 6,645.64, 9,974.63 and 3,361.09

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Solution

The fourth proportional to 6,645.64, 9,974.63 and 3,361.09 is: 5,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.64 : 9,974.63 = 3,361.09 : x
  2. Step 2: Convert to fraction form
    6,645.64/9,974.63 = 3,361.09/x
  3. Step 3: Cross multiply
    6,645.64x = 9,974.63 × 3,361.09
  4. Step 4: Simplify right side
    6,645.64x = 33,525,562.47
  5. Step 5: Solve for x
    x = 33,525,562.47/6,645.64
  6. Step 6: Final answer
    x = 5,044.75

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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.