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Finding the Fourth Proportional to 20,692.72, 31,016.40 and 8,992

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Solution

The fourth proportional to 20,692.72, 31,016.40 and 8,992 is: 13,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.72 : 31,016.40 = 8,992 : x
  2. Step 2: Convert to fraction form
    20,692.72/31,016.40 = 8,992/x
  3. Step 3: Cross multiply
    20,692.72x = 31,016.40 × 8,992
  4. Step 4: Simplify right side
    20,692.72x = 278,899,468.80
  5. Step 5: Solve for x
    x = 278,899,468.80/20,692.72
  6. Step 6: Final answer
    x = 13,478.14

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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.