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Finding the Fourth Proportional to 3,015.21, 4,522.82 and 823.96

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Solution

The fourth proportional to 3,015.21, 4,522.82 and 823.96 is: 1,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.21 : 4,522.82 = 823.96 : x
  2. Step 2: Convert to fraction form
    3,015.21/4,522.82 = 823.96/x
  3. Step 3: Cross multiply
    3,015.21x = 4,522.82 × 823.96
  4. Step 4: Simplify right side
    3,015.21x = 3,726,628.94
  5. Step 5: Solve for x
    x = 3,726,628.94/3,015.21
  6. Step 6: Final answer
    x = 1,235.94

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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.