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Finding the Fourth Proportional to 3,221.99, 4,448.49 and 2,474.61

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Solution

The fourth proportional to 3,221.99, 4,448.49 and 2,474.61 is: 3,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.99 : 4,448.49 = 2,474.61 : x
  2. Step 2: Convert to fraction form
    3,221.99/4,448.49 = 2,474.61/x
  3. Step 3: Cross multiply
    3,221.99x = 4,448.49 × 2,474.61
  4. Step 4: Simplify right side
    3,221.99x = 11,008,265.47
  5. Step 5: Solve for x
    x = 11,008,265.47/3,221.99
  6. Step 6: Final answer
    x = 3,416.61

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