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Finding the Fourth Proportional to 13,833.38, 20,747.04 and 3,970.47

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Solution

The fourth proportional to 13,833.38, 20,747.04 and 3,970.47 is: 5,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.38 : 20,747.04 = 3,970.47 : x
  2. Step 2: Convert to fraction form
    13,833.38/20,747.04 = 3,970.47/x
  3. Step 3: Cross multiply
    13,833.38x = 20,747.04 × 3,970.47
  4. Step 4: Simplify right side
    13,833.38x = 82,375,446.12
  5. Step 5: Solve for x
    x = 82,375,446.12/13,833.38
  6. Step 6: Final answer
    x = 5,954.83

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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.