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Finding the Fourth Proportional to 3,813.82, 5,721.27 and 1,216.78

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Solution

The fourth proportional to 3,813.82, 5,721.27 and 1,216.78 is: 1,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.82 : 5,721.27 = 1,216.78 : x
  2. Step 2: Convert to fraction form
    3,813.82/5,721.27 = 1,216.78/x
  3. Step 3: Cross multiply
    3,813.82x = 5,721.27 × 1,216.78
  4. Step 4: Simplify right side
    3,813.82x = 6,961,526.91
  5. Step 5: Solve for x
    x = 6,961,526.91/3,813.82
  6. Step 6: Final answer
    x = 1,825.34

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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.