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Finding the Fourth Proportional to 8,112.87, 12,169.22 and 2,566.21

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Solution

The fourth proportional to 8,112.87, 12,169.22 and 2,566.21 is: 3,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.87 : 12,169.22 = 2,566.21 : x
  2. Step 2: Convert to fraction form
    8,112.87/12,169.22 = 2,566.21/x
  3. Step 3: Cross multiply
    8,112.87x = 12,169.22 × 2,566.21
  4. Step 4: Simplify right side
    8,112.87x = 31,228,774.06
  5. Step 5: Solve for x
    x = 31,228,774.06/8,112.87
  6. Step 6: Final answer
    x = 3,849.29

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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.