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Finding the Fourth Proportional to 6,863.29, 9,472 and 4,212.43

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Solution

The fourth proportional to 6,863.29, 9,472 and 4,212.43 is: 5,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.29 : 9,472 = 4,212.43 : x
  2. Step 2: Convert to fraction form
    6,863.29/9,472 = 4,212.43/x
  3. Step 3: Cross multiply
    6,863.29x = 9,472 × 4,212.43
  4. Step 4: Simplify right side
    6,863.29x = 39,900,136.96
  5. Step 5: Solve for x
    x = 39,900,136.96/6,863.29
  6. Step 6: Final answer
    x = 5,813.56

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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.