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Finding the Fourth Proportional to 2,352.14, 3,245.98 and 1,304.22

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Solution

The fourth proportional to 2,352.14, 3,245.98 and 1,304.22 is: 1,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.14 : 3,245.98 = 1,304.22 : x
  2. Step 2: Convert to fraction form
    2,352.14/3,245.98 = 1,304.22/x
  3. Step 3: Cross multiply
    2,352.14x = 3,245.98 × 1,304.22
  4. Step 4: Simplify right side
    2,352.14x = 4,233,472.04
  5. Step 5: Solve for x
    x = 4,233,472.04/2,352.14
  6. Step 6: Final answer
    x = 1,799.84

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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.