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Finding the Fourth Proportional to 3,092.85, 4,638.20 and 1,450.17

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Solution

The fourth proportional to 3,092.85, 4,638.20 and 1,450.17 is: 2,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.85 : 4,638.20 = 1,450.17 : x
  2. Step 2: Convert to fraction form
    3,092.85/4,638.20 = 1,450.17/x
  3. Step 3: Cross multiply
    3,092.85x = 4,638.20 × 1,450.17
  4. Step 4: Simplify right side
    3,092.85x = 6,726,171.24
  5. Step 5: Solve for x
    x = 6,726,171.24/3,092.85
  6. Step 6: Final answer
    x = 2,174.75

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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.