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Finding the Fourth Proportional to 6,882.12, 9,494.28 and 4,086

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Solution

The fourth proportional to 6,882.12, 9,494.28 and 4,086 is: 5,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.12 : 9,494.28 = 4,086 : x
  2. Step 2: Convert to fraction form
    6,882.12/9,494.28 = 4,086/x
  3. Step 3: Cross multiply
    6,882.12x = 9,494.28 × 4,086
  4. Step 4: Simplify right side
    6,882.12x = 38,793,628.08
  5. Step 5: Solve for x
    x = 38,793,628.08/6,882.12
  6. Step 6: Final answer
    x = 5,636.87

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1.5x scale

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.