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Finding the Fourth Proportional to 6,853, 10,286.90 and 3,397.56

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Solution

The fourth proportional to 6,853, 10,286.90 and 3,397.56 is: 5,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853 : 10,286.90 = 3,397.56 : x
  2. Step 2: Convert to fraction form
    6,853/10,286.90 = 3,397.56/x
  3. Step 3: Cross multiply
    6,853x = 10,286.90 × 3,397.56
  4. Step 4: Simplify right side
    6,853x = 34,950,359.96
  5. Step 5: Solve for x
    x = 34,950,359.96/6,853
  6. Step 6: Final answer
    x = 5,100.01

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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.