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Finding the Fourth Proportional to 2,678, 3,691.59 and 2,302.97

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Solution

The fourth proportional to 2,678, 3,691.59 and 2,302.97 is: 3,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678 : 3,691.59 = 2,302.97 : x
  2. Step 2: Convert to fraction form
    2,678/3,691.59 = 2,302.97/x
  3. Step 3: Cross multiply
    2,678x = 3,691.59 × 2,302.97
  4. Step 4: Simplify right side
    2,678x = 8,501,621.02
  5. Step 5: Solve for x
    x = 8,501,621.02/2,678
  6. Step 6: Final answer
    x = 3,174.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.