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Finding the Fourth Proportional to 5,305.62, 7,960.02 and 2,141.43

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Solution

The fourth proportional to 5,305.62, 7,960.02 and 2,141.43 is: 3,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.62 : 7,960.02 = 2,141.43 : x
  2. Step 2: Convert to fraction form
    5,305.62/7,960.02 = 2,141.43/x
  3. Step 3: Cross multiply
    5,305.62x = 7,960.02 × 2,141.43
  4. Step 4: Simplify right side
    5,305.62x = 17,045,829.29
  5. Step 5: Solve for x
    x = 17,045,829.29/5,305.62
  6. Step 6: Final answer
    x = 3,212.79

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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.