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Finding the Fourth Proportional to 13,794.25, 20,691.43 and 3,406

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Solution

The fourth proportional to 13,794.25, 20,691.43 and 3,406 is: 5,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.25 : 20,691.43 = 3,406 : x
  2. Step 2: Convert to fraction form
    13,794.25/20,691.43 = 3,406/x
  3. Step 3: Cross multiply
    13,794.25x = 20,691.43 × 3,406
  4. Step 4: Simplify right side
    13,794.25x = 70,475,010.58
  5. Step 5: Solve for x
    x = 70,475,010.58/13,794.25
  6. Step 6: Final answer
    x = 5,109.01

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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.