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Finding the Fourth Proportional to 3,837.96, 5,757.04 and 2,870.21

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Solution

The fourth proportional to 3,837.96, 5,757.04 and 2,870.21 is: 4,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.96 : 5,757.04 = 2,870.21 : x
  2. Step 2: Convert to fraction form
    3,837.96/5,757.04 = 2,870.21/x
  3. Step 3: Cross multiply
    3,837.96x = 5,757.04 × 2,870.21
  4. Step 4: Simplify right side
    3,837.96x = 16,523,913.78
  5. Step 5: Solve for x
    x = 16,523,913.78/3,837.96
  6. Step 6: Final answer
    x = 4,305.39

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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.