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Finding the Fourth Proportional to 13,662.54, 18,849.24 and 8,949.42

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Solution

The fourth proportional to 13,662.54, 18,849.24 and 8,949.42 is: 12,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.54 : 18,849.24 = 8,949.42 : x
  2. Step 2: Convert to fraction form
    13,662.54/18,849.24 = 8,949.42/x
  3. Step 3: Cross multiply
    13,662.54x = 18,849.24 × 8,949.42
  4. Step 4: Simplify right side
    13,662.54x = 168,689,765.44
  5. Step 5: Solve for x
    x = 168,689,765.44/13,662.54
  6. Step 6: Final answer
    x = 12,346.88

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1.5x scale

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.