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Finding the Fourth Proportional to 6,644.39, 9,968.87 and 2,949.20

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Solution

The fourth proportional to 6,644.39, 9,968.87 and 2,949.20 is: 4,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.39 : 9,968.87 = 2,949.20 : x
  2. Step 2: Convert to fraction form
    6,644.39/9,968.87 = 2,949.20/x
  3. Step 3: Cross multiply
    6,644.39x = 9,968.87 × 2,949.20
  4. Step 4: Simplify right side
    6,644.39x = 29,400,186.32
  5. Step 5: Solve for x
    x = 29,400,186.32/6,644.39
  6. Step 6: Final answer
    x = 4,424.82

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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.