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Finding the Fourth Proportional to 6,729, 9,286.02 and 3,785

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Solution

The fourth proportional to 6,729, 9,286.02 and 3,785 is: 5,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729 : 9,286.02 = 3,785 : x
  2. Step 2: Convert to fraction form
    6,729/9,286.02 = 3,785/x
  3. Step 3: Cross multiply
    6,729x = 9,286.02 × 3,785
  4. Step 4: Simplify right side
    6,729x = 35,147,585.70
  5. Step 5: Solve for x
    x = 35,147,585.70/6,729
  6. Step 6: Final answer
    x = 5,223.30

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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.