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Finding the Fourth Proportional to 6,642.78, 9,964.63 and 2,200.44

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Solution

The fourth proportional to 6,642.78, 9,964.63 and 2,200.44 is: 3,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.78 : 9,964.63 = 2,200.44 : x
  2. Step 2: Convert to fraction form
    6,642.78/9,964.63 = 2,200.44/x
  3. Step 3: Cross multiply
    6,642.78x = 9,964.63 × 2,200.44
  4. Step 4: Simplify right side
    6,642.78x = 21,926,570.44
  5. Step 5: Solve for x
    x = 21,926,570.44/6,642.78
  6. Step 6: Final answer
    x = 3,300.81

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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.