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Finding the Fourth Proportional to 2,181.74, 3,273.12 and 621.76

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Solution

The fourth proportional to 2,181.74, 3,273.12 and 621.76 is: 932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.74 : 3,273.12 = 621.76 : x
  2. Step 2: Convert to fraction form
    2,181.74/3,273.12 = 621.76/x
  3. Step 3: Cross multiply
    2,181.74x = 3,273.12 × 621.76
  4. Step 4: Simplify right side
    2,181.74x = 2,035,107.73
  5. Step 5: Solve for x
    x = 2,035,107.73/2,181.74
  6. Step 6: Final answer
    x = 932.79

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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.