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Finding the Fourth Proportional to 10,581.28, 15,847.62 and 8,229.04

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Solution

The fourth proportional to 10,581.28, 15,847.62 and 8,229.04 is: 12,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.28 : 15,847.62 = 8,229.04 : x
  2. Step 2: Convert to fraction form
    10,581.28/15,847.62 = 8,229.04/x
  3. Step 3: Cross multiply
    10,581.28x = 15,847.62 × 8,229.04
  4. Step 4: Simplify right side
    10,581.28x = 130,410,698.88
  5. Step 5: Solve for x
    x = 130,410,698.88/10,581.28
  6. Step 6: Final answer
    x = 12,324.66

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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.