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Finding the Fourth Proportional to 3,322.71, 4,552.14 and 3,198.15

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Solution

The fourth proportional to 3,322.71, 4,552.14 and 3,198.15 is: 4,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.71 : 4,552.14 = 3,198.15 : x
  2. Step 2: Convert to fraction form
    3,322.71/4,552.14 = 3,198.15/x
  3. Step 3: Cross multiply
    3,322.71x = 4,552.14 × 3,198.15
  4. Step 4: Simplify right side
    3,322.71x = 14,558,426.54
  5. Step 5: Solve for x
    x = 14,558,426.54/3,322.71
  6. Step 6: Final answer
    x = 4,381.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.