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Finding the Fourth Proportional to 6,932.80, 10,391.84 and 3,230.72

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Solution

The fourth proportional to 6,932.80, 10,391.84 and 3,230.72 is: 4,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.80 : 10,391.84 = 3,230.72 : x
  2. Step 2: Convert to fraction form
    6,932.80/10,391.84 = 3,230.72/x
  3. Step 3: Cross multiply
    6,932.80x = 10,391.84 × 3,230.72
  4. Step 4: Simplify right side
    6,932.80x = 33,573,125.32
  5. Step 5: Solve for x
    x = 33,573,125.32/6,932.80
  6. Step 6: Final answer
    x = 4,842.65

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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.