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Finding the Fourth Proportional to 3,494.45, 5,238.95 and 2,193.19

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Solution

The fourth proportional to 3,494.45, 5,238.95 and 2,193.19 is: 3,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.45 : 5,238.95 = 2,193.19 : x
  2. Step 2: Convert to fraction form
    3,494.45/5,238.95 = 2,193.19/x
  3. Step 3: Cross multiply
    3,494.45x = 5,238.95 × 2,193.19
  4. Step 4: Simplify right side
    3,494.45x = 11,489,988.69
  5. Step 5: Solve for x
    x = 11,489,988.69/3,494.45
  6. Step 6: Final answer
    x = 3,288.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.