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Finding the Fourth Proportional to 3,884.95, 5,821.96 and 2,125.43

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Solution

The fourth proportional to 3,884.95, 5,821.96 and 2,125.43 is: 3,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.95 : 5,821.96 = 2,125.43 : x
  2. Step 2: Convert to fraction form
    3,884.95/5,821.96 = 2,125.43/x
  3. Step 3: Cross multiply
    3,884.95x = 5,821.96 × 2,125.43
  4. Step 4: Simplify right side
    3,884.95x = 12,374,168.44
  5. Step 5: Solve for x
    x = 12,374,168.44/3,884.95
  6. Step 6: Final answer
    x = 3,185.16

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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.