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Finding the Fourth Proportional to 6,645.24, 9,965.84 and 2,202.12

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Solution

The fourth proportional to 6,645.24, 9,965.84 and 2,202.12 is: 3,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.24 : 9,965.84 = 2,202.12 : x
  2. Step 2: Convert to fraction form
    6,645.24/9,965.84 = 2,202.12/x
  3. Step 3: Cross multiply
    6,645.24x = 9,965.84 × 2,202.12
  4. Step 4: Simplify right side
    6,645.24x = 21,945,964.57
  5. Step 5: Solve for x
    x = 21,945,964.57/6,645.24
  6. Step 6: Final answer
    x = 3,302.51

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1.5x scale

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.