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Finding the Fourth Proportional to 6,642.51, 9,962.64 and 2,198.82

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Solution

The fourth proportional to 6,642.51, 9,962.64 and 2,198.82 is: 3,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.51 : 9,962.64 = 2,198.82 : x
  2. Step 2: Convert to fraction form
    6,642.51/9,962.64 = 2,198.82/x
  3. Step 3: Cross multiply
    6,642.51x = 9,962.64 × 2,198.82
  4. Step 4: Simplify right side
    6,642.51x = 21,906,052.08
  5. Step 5: Solve for x
    x = 21,906,052.08/6,642.51
  6. Step 6: Final answer
    x = 3,297.86

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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.