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Finding the Fourth Proportional to 13,190.64, 18,195.48 and 8,214

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Solution

The fourth proportional to 13,190.64, 18,195.48 and 8,214 is: 11,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.64 : 18,195.48 = 8,214 : x
  2. Step 2: Convert to fraction form
    13,190.64/18,195.48 = 8,214/x
  3. Step 3: Cross multiply
    13,190.64x = 18,195.48 × 8,214
  4. Step 4: Simplify right side
    13,190.64x = 149,457,672.72
  5. Step 5: Solve for x
    x = 149,457,672.72/13,190.64
  6. Step 6: Final answer
    x = 11,330.59

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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.