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Finding the Fourth Proportional to 13,692.15, 18,906.35 and 8,664.48

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Solution

The fourth proportional to 13,692.15, 18,906.35 and 8,664.48 is: 11,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.15 : 18,906.35 = 8,664.48 : x
  2. Step 2: Convert to fraction form
    13,692.15/18,906.35 = 8,664.48/x
  3. Step 3: Cross multiply
    13,692.15x = 18,906.35 × 8,664.48
  4. Step 4: Simplify right side
    13,692.15x = 163,813,648.13
  5. Step 5: Solve for x
    x = 163,813,648.13/13,692.15
  6. Step 6: Final answer
    x = 11,964.06

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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.