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Finding the Fourth Proportional to 2,731.83, 4,097.75 and 679.83

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Solution

The fourth proportional to 2,731.83, 4,097.75 and 679.83 is: 1,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.83 : 4,097.75 = 679.83 : x
  2. Step 2: Convert to fraction form
    2,731.83/4,097.75 = 679.83/x
  3. Step 3: Cross multiply
    2,731.83x = 4,097.75 × 679.83
  4. Step 4: Simplify right side
    2,731.83x = 2,785,769.98
  5. Step 5: Solve for x
    x = 2,785,769.98/2,731.83
  6. Step 6: Final answer
    x = 1,019.75

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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.