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Finding the Fourth Proportional to 8,107.16, 12,161.91 and 2,560.91

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Solution

The fourth proportional to 8,107.16, 12,161.91 and 2,560.91 is: 3,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.16 : 12,161.91 = 2,560.91 : x
  2. Step 2: Convert to fraction form
    8,107.16/12,161.91 = 2,560.91/x
  3. Step 3: Cross multiply
    8,107.16x = 12,161.91 × 2,560.91
  4. Step 4: Simplify right side
    8,107.16x = 31,145,496.13
  5. Step 5: Solve for x
    x = 31,145,496.13/8,107.16
  6. Step 6: Final answer
    x = 3,841.73

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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.