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Finding the Fourth Proportional to 6,645.96, 9,965.55 and 2,202.02

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Solution

The fourth proportional to 6,645.96, 9,965.55 and 2,202.02 is: 3,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.96 : 9,965.55 = 2,202.02 : x
  2. Step 2: Convert to fraction form
    6,645.96/9,965.55 = 2,202.02/x
  3. Step 3: Cross multiply
    6,645.96x = 9,965.55 × 2,202.02
  4. Step 4: Simplify right side
    6,645.96x = 21,944,365.32
  5. Step 5: Solve for x
    x = 21,944,365.32/6,645.96
  6. Step 6: Final answer
    x = 3,301.91

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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.