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Finding the Fourth Proportional to 5,912.13, 8,158.82 and 3,819.90

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Solution

The fourth proportional to 5,912.13, 8,158.82 and 3,819.90 is: 5,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.13 : 8,158.82 = 3,819.90 : x
  2. Step 2: Convert to fraction form
    5,912.13/8,158.82 = 3,819.90/x
  3. Step 3: Cross multiply
    5,912.13x = 8,158.82 × 3,819.90
  4. Step 4: Simplify right side
    5,912.13x = 31,165,857.42
  5. Step 5: Solve for x
    x = 31,165,857.42/5,912.13
  6. Step 6: Final answer
    x = 5,271.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.