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Finding the Fourth Proportional to 8,692.71, 11,993.92 and 5,865.32

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Solution

The fourth proportional to 8,692.71, 11,993.92 and 5,865.32 is: 8,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.71 : 11,993.92 = 5,865.32 : x
  2. Step 2: Convert to fraction form
    8,692.71/11,993.92 = 5,865.32/x
  3. Step 3: Cross multiply
    8,692.71x = 11,993.92 × 5,865.32
  4. Step 4: Simplify right side
    8,692.71x = 70,348,178.85
  5. Step 5: Solve for x
    x = 70,348,178.85/8,692.71
  6. Step 6: Final answer
    x = 8,092.78

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