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Finding the Fourth Proportional to 6,932, 10,398 and 2,773.86

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Solution

The fourth proportional to 6,932, 10,398 and 2,773.86 is: 4,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932 : 10,398 = 2,773.86 : x
  2. Step 2: Convert to fraction form
    6,932/10,398 = 2,773.86/x
  3. Step 3: Cross multiply
    6,932x = 10,398 × 2,773.86
  4. Step 4: Simplify right side
    6,932x = 28,842,596.28
  5. Step 5: Solve for x
    x = 28,842,596.28/6,932
  6. Step 6: Final answer
    x = 4,160.79

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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.