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Finding the Fourth Proportional to 10,636.64, 15,940.88 and 8,162

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Solution

The fourth proportional to 10,636.64, 15,940.88 and 8,162 is: 12,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.64 : 15,940.88 = 8,162 : x
  2. Step 2: Convert to fraction form
    10,636.64/15,940.88 = 8,162/x
  3. Step 3: Cross multiply
    10,636.64x = 15,940.88 × 8,162
  4. Step 4: Simplify right side
    10,636.64x = 130,109,462.56
  5. Step 5: Solve for x
    x = 130,109,462.56/10,636.64
  6. Step 6: Final answer
    x = 12,232.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.