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Finding the Fourth Proportional to 3,821.96, 5,732.86 and 1,224.68

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Solution

The fourth proportional to 3,821.96, 5,732.86 and 1,224.68 is: 1,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.96 : 5,732.86 = 1,224.68 : x
  2. Step 2: Convert to fraction form
    3,821.96/5,732.86 = 1,224.68/x
  3. Step 3: Cross multiply
    3,821.96x = 5,732.86 × 1,224.68
  4. Step 4: Simplify right side
    3,821.96x = 7,020,918.98
  5. Step 5: Solve for x
    x = 7,020,918.98/3,821.96
  6. Step 6: Final answer
    x = 1,836.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.