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Finding the Fourth Proportional to 3,872.34, 5,810.13 and 2,138.94

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Solution

The fourth proportional to 3,872.34, 5,810.13 and 2,138.94 is: 3,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.34 : 5,810.13 = 2,138.94 : x
  2. Step 2: Convert to fraction form
    3,872.34/5,810.13 = 2,138.94/x
  3. Step 3: Cross multiply
    3,872.34x = 5,810.13 × 2,138.94
  4. Step 4: Simplify right side
    3,872.34x = 12,427,519.46
  5. Step 5: Solve for x
    x = 12,427,519.46/3,872.34
  6. Step 6: Final answer
    x = 3,209.30

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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.