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Finding the Fourth Proportional to 3,014.42, 4,520.91 and 822.62

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Solution

The fourth proportional to 3,014.42, 4,520.91 and 822.62 is: 1,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.42 : 4,520.91 = 822.62 : x
  2. Step 2: Convert to fraction form
    3,014.42/4,520.91 = 822.62/x
  3. Step 3: Cross multiply
    3,014.42x = 4,520.91 × 822.62
  4. Step 4: Simplify right side
    3,014.42x = 3,718,990.98
  5. Step 5: Solve for x
    x = 3,718,990.98/3,014.42
  6. Step 6: Final answer
    x = 1,233.73

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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.