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Finding the Fourth Proportional to 6,643.92, 9,966.90 and 2,202.60

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Solution

The fourth proportional to 6,643.92, 9,966.90 and 2,202.60 is: 3,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.92 : 9,966.90 = 2,202.60 : x
  2. Step 2: Convert to fraction form
    6,643.92/9,966.90 = 2,202.60/x
  3. Step 3: Cross multiply
    6,643.92x = 9,966.90 × 2,202.60
  4. Step 4: Simplify right side
    6,643.92x = 21,953,093.94
  5. Step 5: Solve for x
    x = 21,953,093.94/6,643.92
  6. Step 6: Final answer
    x = 3,304.24

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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.