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Finding the Fourth Proportional to 20,791.78, 28,692.63 and 11,231.66

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Solution

The fourth proportional to 20,791.78, 28,692.63 and 11,231.66 is: 15,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.78 : 28,692.63 = 11,231.66 : x
  2. Step 2: Convert to fraction form
    20,791.78/28,692.63 = 11,231.66/x
  3. Step 3: Cross multiply
    20,791.78x = 28,692.63 × 11,231.66
  4. Step 4: Simplify right side
    20,791.78x = 322,265,808.51
  5. Step 5: Solve for x
    x = 322,265,808.51/20,791.78
  6. Step 6: Final answer
    x = 15,499.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.