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Finding the Fourth Proportional to 8,141.94, 12,212.91 and 2,297.79

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Solution

The fourth proportional to 8,141.94, 12,212.91 and 2,297.79 is: 3,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.94 : 12,212.91 = 2,297.79 : x
  2. Step 2: Convert to fraction form
    8,141.94/12,212.91 = 2,297.79/x
  3. Step 3: Cross multiply
    8,141.94x = 12,212.91 × 2,297.79
  4. Step 4: Simplify right side
    8,141.94x = 28,062,702.47
  5. Step 5: Solve for x
    x = 28,062,702.47/8,141.94
  6. Step 6: Final answer
    x = 3,446.69

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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.