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Finding the Fourth Proportional to 3,523.25, 5,286.82 and 1,964.13

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Solution

The fourth proportional to 3,523.25, 5,286.82 and 1,964.13 is: 2,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.25 : 5,286.82 = 1,964.13 : x
  2. Step 2: Convert to fraction form
    3,523.25/5,286.82 = 1,964.13/x
  3. Step 3: Cross multiply
    3,523.25x = 5,286.82 × 1,964.13
  4. Step 4: Simplify right side
    3,523.25x = 10,384,001.77
  5. Step 5: Solve for x
    x = 10,384,001.77/3,523.25
  6. Step 6: Final answer
    x = 2,947.28

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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.