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Finding the Fourth Proportional to 13,790, 20,685.41 and 3,401.75

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Solution

The fourth proportional to 13,790, 20,685.41 and 3,401.75 is: 5,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790 : 20,685.41 = 3,401.75 : x
  2. Step 2: Convert to fraction form
    13,790/20,685.41 = 3,401.75/x
  3. Step 3: Cross multiply
    13,790x = 20,685.41 × 3,401.75
  4. Step 4: Simplify right side
    13,790x = 70,366,593.47
  5. Step 5: Solve for x
    x = 70,366,593.47/13,790
  6. Step 6: Final answer
    x = 5,102.73

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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.