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Finding the Fourth Proportional to 3,202.72, 4,419.92 and 1,786.44

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Solution

The fourth proportional to 3,202.72, 4,419.92 and 1,786.44 is: 2,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.72 : 4,419.92 = 1,786.44 : x
  2. Step 2: Convert to fraction form
    3,202.72/4,419.92 = 1,786.44/x
  3. Step 3: Cross multiply
    3,202.72x = 4,419.92 × 1,786.44
  4. Step 4: Simplify right side
    3,202.72x = 7,895,921.88
  5. Step 5: Solve for x
    x = 7,895,921.88/3,202.72
  6. Step 6: Final answer
    x = 2,465.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.