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Finding the Fourth Proportional to 13,188.64, 18,192.72 and 8,212

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Solution

The fourth proportional to 13,188.64, 18,192.72 and 8,212 is: 11,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.64 : 18,192.72 = 8,212 : x
  2. Step 2: Convert to fraction form
    13,188.64/18,192.72 = 8,212/x
  3. Step 3: Cross multiply
    13,188.64x = 18,192.72 × 8,212
  4. Step 4: Simplify right side
    13,188.64x = 149,398,616.64
  5. Step 5: Solve for x
    x = 149,398,616.64/13,188.64
  6. Step 6: Final answer
    x = 11,327.83

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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.