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Finding the Fourth Proportional to 13,791, 20,686.92 and 3,402.75

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Solution

The fourth proportional to 13,791, 20,686.92 and 3,402.75 is: 5,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791 : 20,686.92 = 3,402.75 : x
  2. Step 2: Convert to fraction form
    13,791/20,686.92 = 3,402.75/x
  3. Step 3: Cross multiply
    13,791x = 20,686.92 × 3,402.75
  4. Step 4: Simplify right side
    13,791x = 70,392,417.03
  5. Step 5: Solve for x
    x = 70,392,417.03/13,791
  6. Step 6: Final answer
    x = 5,104.23

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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.