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Finding the Fourth Proportional to 9,049.90, 13,571.20 and 3,781.46

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Solution

The fourth proportional to 9,049.90, 13,571.20 and 3,781.46 is: 5,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.90 : 13,571.20 = 3,781.46 : x
  2. Step 2: Convert to fraction form
    9,049.90/13,571.20 = 3,781.46/x
  3. Step 3: Cross multiply
    9,049.90x = 13,571.20 × 3,781.46
  4. Step 4: Simplify right side
    9,049.90x = 51,318,949.95
  5. Step 5: Solve for x
    x = 51,318,949.95/9,049.90
  6. Step 6: Final answer
    x = 5,670.66

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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.