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Finding the Fourth Proportional to 8,540.91, 12,816.24 and 6,820.47

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Solution

The fourth proportional to 8,540.91, 12,816.24 and 6,820.47 is: 10,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.91 : 12,816.24 = 6,820.47 : x
  2. Step 2: Convert to fraction form
    8,540.91/12,816.24 = 6,820.47/x
  3. Step 3: Cross multiply
    8,540.91x = 12,816.24 × 6,820.47
  4. Step 4: Simplify right side
    8,540.91x = 87,412,780.43
  5. Step 5: Solve for x
    x = 87,412,780.43/8,540.91
  6. Step 6: Final answer
    x = 10,234.60

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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.