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Finding the Fourth Proportional to 2,680, 3,697.72 and 2,181.80

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Solution

The fourth proportional to 2,680, 3,697.72 and 2,181.80 is: 3,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680 : 3,697.72 = 2,181.80 : x
  2. Step 2: Convert to fraction form
    2,680/3,697.72 = 2,181.80/x
  3. Step 3: Cross multiply
    2,680x = 3,697.72 × 2,181.80
  4. Step 4: Simplify right side
    2,680x = 8,067,685.50
  5. Step 5: Solve for x
    x = 8,067,685.50/2,680
  6. Step 6: Final answer
    x = 3,010.33

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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.