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Finding the Fourth Proportional to 13,791.84, 20,684.64 and 3,930.90

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Solution

The fourth proportional to 13,791.84, 20,684.64 and 3,930.90 is: 5,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.84 : 20,684.64 = 3,930.90 : x
  2. Step 2: Convert to fraction form
    13,791.84/20,684.64 = 3,930.90/x
  3. Step 3: Cross multiply
    13,791.84x = 20,684.64 × 3,930.90
  4. Step 4: Simplify right side
    13,791.84x = 81,309,251.38
  5. Step 5: Solve for x
    x = 81,309,251.38/13,791.84
  6. Step 6: Final answer
    x = 5,895.46

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1.5x scale

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.