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Finding the Fourth Proportional to 19,692.27, 29,542.80 and 7,212.03

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Solution

The fourth proportional to 19,692.27, 29,542.80 and 7,212.03 is: 10,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.27 : 29,542.80 = 7,212.03 : x
  2. Step 2: Convert to fraction form
    19,692.27/29,542.80 = 7,212.03/x
  3. Step 3: Cross multiply
    19,692.27x = 29,542.80 × 7,212.03
  4. Step 4: Simplify right side
    19,692.27x = 213,063,559.88
  5. Step 5: Solve for x
    x = 213,063,559.88/19,692.27
  6. Step 6: Final answer
    x = 10,819.65

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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.