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Finding the Fourth Proportional to 6,639.78, 9,956.41 and 3,867.42

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Solution

The fourth proportional to 6,639.78, 9,956.41 and 3,867.42 is: 5,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,639.78 : 9,956.41 = 3,867.42 : x
  2. Step 2: Convert to fraction form
    6,639.78/9,956.41 = 3,867.42/x
  3. Step 3: Cross multiply
    6,639.78x = 9,956.41 × 3,867.42
  4. Step 4: Simplify right side
    6,639.78x = 38,505,619.16
  5. Step 5: Solve for x
    x = 38,505,619.16/6,639.78
  6. Step 6: Final answer
    x = 5,799.23

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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.