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Finding the Fourth Proportional to 6,689.64, 10,034.46 and 2,791.92

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Solution

The fourth proportional to 6,689.64, 10,034.46 and 2,791.92 is: 4,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.64 : 10,034.46 = 2,791.92 : x
  2. Step 2: Convert to fraction form
    6,689.64/10,034.46 = 2,791.92/x
  3. Step 3: Cross multiply
    6,689.64x = 10,034.46 × 2,791.92
  4. Step 4: Simplify right side
    6,689.64x = 28,015,409.56
  5. Step 5: Solve for x
    x = 28,015,409.56/6,689.64
  6. Step 6: Final answer
    x = 4,187.88

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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.