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Finding the Fourth Proportional to 3,286.64, 4,932.01 and 1,338.84

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Solution

The fourth proportional to 3,286.64, 4,932.01 and 1,338.84 is: 2,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.64 : 4,932.01 = 1,338.84 : x
  2. Step 2: Convert to fraction form
    3,286.64/4,932.01 = 1,338.84/x
  3. Step 3: Cross multiply
    3,286.64x = 4,932.01 × 1,338.84
  4. Step 4: Simplify right side
    3,286.64x = 6,603,172.27
  5. Step 5: Solve for x
    x = 6,603,172.27/3,286.64
  6. Step 6: Final answer
    x = 2,009.10

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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.