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Finding the Fourth Proportional to 2,680, 3,694.34 and 2,304.98

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Solution

The fourth proportional to 2,680, 3,694.34 and 2,304.98 is: 3,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680 : 3,694.34 = 2,304.98 : x
  2. Step 2: Convert to fraction form
    2,680/3,694.34 = 2,304.98/x
  3. Step 3: Cross multiply
    2,680x = 3,694.34 × 2,304.98
  4. Step 4: Simplify right side
    2,680x = 8,515,379.81
  5. Step 5: Solve for x
    x = 8,515,379.81/2,680
  6. Step 6: Final answer
    x = 3,177.38

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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.