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Finding the Fourth Proportional to 2,731.91, 4,097.86 and 679.91

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Solution

The fourth proportional to 2,731.91, 4,097.86 and 679.91 is: 1,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.91 : 4,097.86 = 679.91 : x
  2. Step 2: Convert to fraction form
    2,731.91/4,097.86 = 679.91/x
  3. Step 3: Cross multiply
    2,731.91x = 4,097.86 × 679.91
  4. Step 4: Simplify right side
    2,731.91x = 2,786,175.99
  5. Step 5: Solve for x
    x = 2,786,175.99/2,731.91
  6. Step 6: Final answer
    x = 1,019.86

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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.