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Finding the Fourth Proportional to 13,756.92, 18,976.62 and 8,375.16

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Solution

The fourth proportional to 13,756.92, 18,976.62 and 8,375.16 is: 11,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.92 : 18,976.62 = 8,375.16 : x
  2. Step 2: Convert to fraction form
    13,756.92/18,976.62 = 8,375.16/x
  3. Step 3: Cross multiply
    13,756.92x = 18,976.62 × 8,375.16
  4. Step 4: Simplify right side
    13,756.92x = 158,932,228.76
  5. Step 5: Solve for x
    x = 158,932,228.76/13,756.92
  6. Step 6: Final answer
    x = 11,552.89

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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.