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Finding the Fourth Proportional to 6,689.52, 10,034.38 and 3,179.89

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Solution

The fourth proportional to 6,689.52, 10,034.38 and 3,179.89 is: 4,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.52 : 10,034.38 = 3,179.89 : x
  2. Step 2: Convert to fraction form
    6,689.52/10,034.38 = 3,179.89/x
  3. Step 3: Cross multiply
    6,689.52x = 10,034.38 × 3,179.89
  4. Step 4: Simplify right side
    6,689.52x = 31,908,191.58
  5. Step 5: Solve for x
    x = 31,908,191.58/6,689.52
  6. Step 6: Final answer
    x = 4,769.88

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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.