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Finding the Fourth Proportional to 8,156.65, 12,245.30 and 6,786.74

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Solution

The fourth proportional to 8,156.65, 12,245.30 and 6,786.74 is: 10,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.65 : 12,245.30 = 6,786.74 : x
  2. Step 2: Convert to fraction form
    8,156.65/12,245.30 = 6,786.74/x
  3. Step 3: Cross multiply
    8,156.65x = 12,245.30 × 6,786.74
  4. Step 4: Simplify right side
    8,156.65x = 83,105,589.13
  5. Step 5: Solve for x
    x = 83,105,589.13/8,156.65
  6. Step 6: Final answer
    x = 10,188.69

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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.