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Finding the Fourth Proportional to 5,731.29, 7,909.62 and 3,213.96

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Solution

The fourth proportional to 5,731.29, 7,909.62 and 3,213.96 is: 4,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.29 : 7,909.62 = 3,213.96 : x
  2. Step 2: Convert to fraction form
    5,731.29/7,909.62 = 3,213.96/x
  3. Step 3: Cross multiply
    5,731.29x = 7,909.62 × 3,213.96
  4. Step 4: Simplify right side
    5,731.29x = 25,421,202.30
  5. Step 5: Solve for x
    x = 25,421,202.30/5,731.29
  6. Step 6: Final answer
    x = 4,435.51

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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.