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Finding the Fourth Proportional to 12,380.92, 18,549.81 and 10,314.20

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Solution

The fourth proportional to 12,380.92, 18,549.81 and 10,314.20 is: 15,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.92 : 18,549.81 = 10,314.20 : x
  2. Step 2: Convert to fraction form
    12,380.92/18,549.81 = 10,314.20/x
  3. Step 3: Cross multiply
    12,380.92x = 18,549.81 × 10,314.20
  4. Step 4: Simplify right side
    12,380.92x = 191,326,496.68
  5. Step 5: Solve for x
    x = 191,326,496.68/12,380.92
  6. Step 6: Final answer
    x = 15,453.34

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1.5x scale

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.