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Finding the Fourth Proportional to 3,450.14, 5,150.19 and 3,193.16

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Solution

The fourth proportional to 3,450.14, 5,150.19 and 3,193.16 is: 4,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.14 : 5,150.19 = 3,193.16 : x
  2. Step 2: Convert to fraction form
    3,450.14/5,150.19 = 3,193.16/x
  3. Step 3: Cross multiply
    3,450.14x = 5,150.19 × 3,193.16
  4. Step 4: Simplify right side
    3,450.14x = 16,445,364.73
  5. Step 5: Solve for x
    x = 16,445,364.73/3,450.14
  6. Step 6: Final answer
    x = 4,766.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.