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Finding the Fourth Proportional to 6,286, 8,674.68 and 3,802

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Solution

The fourth proportional to 6,286, 8,674.68 and 3,802 is: 5,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286 : 8,674.68 = 3,802 : x
  2. Step 2: Convert to fraction form
    6,286/8,674.68 = 3,802/x
  3. Step 3: Cross multiply
    6,286x = 8,674.68 × 3,802
  4. Step 4: Simplify right side
    6,286x = 32,981,133.36
  5. Step 5: Solve for x
    x = 32,981,133.36/6,286
  6. Step 6: Final answer
    x = 5,246.76

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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.