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Finding the Fourth Proportional to 8,613.88, 11,869.62 and 8,149

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Solution

The fourth proportional to 8,613.88, 11,869.62 and 8,149 is: 11,229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.88 : 11,869.62 = 8,149 : x
  2. Step 2: Convert to fraction form
    8,613.88/11,869.62 = 8,149/x
  3. Step 3: Cross multiply
    8,613.88x = 11,869.62 × 8,149
  4. Step 4: Simplify right side
    8,613.88x = 96,725,533.38
  5. Step 5: Solve for x
    x = 96,725,533.38/8,613.88
  6. Step 6: Final answer
    x = 11,229.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.