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Finding the Fourth Proportional to 13,793.94, 20,692.13 and 3,933

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Solution

The fourth proportional to 13,793.94, 20,692.13 and 3,933 is: 5,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.94 : 20,692.13 = 3,933 : x
  2. Step 2: Convert to fraction form
    13,793.94/20,692.13 = 3,933/x
  3. Step 3: Cross multiply
    13,793.94x = 20,692.13 × 3,933
  4. Step 4: Simplify right side
    13,793.94x = 81,382,127.63
  5. Step 5: Solve for x
    x = 81,382,127.63/13,793.94
  6. Step 6: Final answer
    x = 5,899.85

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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.