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Finding the Fourth Proportional to 3,286.42, 4,932.86 and 1,990.42

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Solution

The fourth proportional to 3,286.42, 4,932.86 and 1,990.42 is: 2,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.42 : 4,932.86 = 1,990.42 : x
  2. Step 2: Convert to fraction form
    3,286.42/4,932.86 = 1,990.42/x
  3. Step 3: Cross multiply
    3,286.42x = 4,932.86 × 1,990.42
  4. Step 4: Simplify right side
    3,286.42x = 9,818,463.20
  5. Step 5: Solve for x
    x = 9,818,463.20/3,286.42
  6. Step 6: Final answer
    x = 2,987.59

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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.