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Finding the Fourth Proportional to 3,282.99, 4,922.31 and 1,721.11

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Solution

The fourth proportional to 3,282.99, 4,922.31 and 1,721.11 is: 2,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.99 : 4,922.31 = 1,721.11 : x
  2. Step 2: Convert to fraction form
    3,282.99/4,922.31 = 1,721.11/x
  3. Step 3: Cross multiply
    3,282.99x = 4,922.31 × 1,721.11
  4. Step 4: Simplify right side
    3,282.99x = 8,471,836.96
  5. Step 5: Solve for x
    x = 8,471,836.96/3,282.99
  6. Step 6: Final answer
    x = 2,580.52

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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.