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Finding the Fourth Proportional to 8,107.08, 12,161.16 and 2,560.65

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Solution

The fourth proportional to 8,107.08, 12,161.16 and 2,560.65 is: 3,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.08 : 12,161.16 = 2,560.65 : x
  2. Step 2: Convert to fraction form
    8,107.08/12,161.16 = 2,560.65/x
  3. Step 3: Cross multiply
    8,107.08x = 12,161.16 × 2,560.65
  4. Step 4: Simplify right side
    8,107.08x = 31,140,474.35
  5. Step 5: Solve for x
    x = 31,140,474.35/8,107.08
  6. Step 6: Final answer
    x = 3,841.15

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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.