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Finding the Fourth Proportional to 3,450.30, 5,181.27 and 3,274.98

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Solution

The fourth proportional to 3,450.30, 5,181.27 and 3,274.98 is: 4,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.30 : 5,181.27 = 3,274.98 : x
  2. Step 2: Convert to fraction form
    3,450.30/5,181.27 = 3,274.98/x
  3. Step 3: Cross multiply
    3,450.30x = 5,181.27 × 3,274.98
  4. Step 4: Simplify right side
    3,450.30x = 16,968,555.62
  5. Step 5: Solve for x
    x = 16,968,555.62/3,450.30
  6. Step 6: Final answer
    x = 4,917.99

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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.