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Finding the Fourth Proportional to 13,141.92, 19,709.90 and 3,781.92

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Solution

The fourth proportional to 13,141.92, 19,709.90 and 3,781.92 is: 5,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.92 : 19,709.90 = 3,781.92 : x
  2. Step 2: Convert to fraction form
    13,141.92/19,709.90 = 3,781.92/x
  3. Step 3: Cross multiply
    13,141.92x = 19,709.90 × 3,781.92
  4. Step 4: Simplify right side
    13,141.92x = 74,541,265.01
  5. Step 5: Solve for x
    x = 74,541,265.01/13,141.92
  6. Step 6: Final answer
    x = 5,672.02

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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.