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Finding the Fourth Proportional to 13,760.80, 18,990.96 and 8,382.64

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Solution

The fourth proportional to 13,760.80, 18,990.96 and 8,382.64 is: 11,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.80 : 18,990.96 = 8,382.64 : x
  2. Step 2: Convert to fraction form
    13,760.80/18,990.96 = 8,382.64/x
  3. Step 3: Cross multiply
    13,760.80x = 18,990.96 × 8,382.64
  4. Step 4: Simplify right side
    13,760.80x = 159,194,380.93
  5. Step 5: Solve for x
    x = 159,194,380.93/13,760.80
  6. Step 6: Final answer
    x = 11,568.69

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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.