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Finding the Fourth Proportional to 13,162.96, 18,169.92 and 8,128

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Solution

The fourth proportional to 13,162.96, 18,169.92 and 8,128 is: 11,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.96 : 18,169.92 = 8,128 : x
  2. Step 2: Convert to fraction form
    13,162.96/18,169.92 = 8,128/x
  3. Step 3: Cross multiply
    13,162.96x = 18,169.92 × 8,128
  4. Step 4: Simplify right side
    13,162.96x = 147,685,109.76
  5. Step 5: Solve for x
    x = 147,685,109.76/13,162.96
  6. Step 6: Final answer
    x = 11,219.75

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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.