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Finding the Fourth Proportional to 6,643.32, 9,965.13 and 2,199.56

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Solution

The fourth proportional to 6,643.32, 9,965.13 and 2,199.56 is: 3,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.32 : 9,965.13 = 2,199.56 : x
  2. Step 2: Convert to fraction form
    6,643.32/9,965.13 = 2,199.56/x
  3. Step 3: Cross multiply
    6,643.32x = 9,965.13 × 2,199.56
  4. Step 4: Simplify right side
    6,643.32x = 21,918,843.27
  5. Step 5: Solve for x
    x = 21,918,843.27/6,643.32
  6. Step 6: Final answer
    x = 3,299.38

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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.