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Finding the Fourth Proportional to 3,813.96, 5,721.89 and 2,058.21

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Solution

The fourth proportional to 3,813.96, 5,721.89 and 2,058.21 is: 3,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.96 : 5,721.89 = 2,058.21 : x
  2. Step 2: Convert to fraction form
    3,813.96/5,721.89 = 2,058.21/x
  3. Step 3: Cross multiply
    3,813.96x = 5,721.89 × 2,058.21
  4. Step 4: Simplify right side
    3,813.96x = 11,776,852.50
  5. Step 5: Solve for x
    x = 11,776,852.50/3,813.96
  6. Step 6: Final answer
    x = 3,087.83

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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.