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Finding the Fourth Proportional to 16,213.78, 22,375.64 and 9,140.05

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Solution

The fourth proportional to 16,213.78, 22,375.64 and 9,140.05 is: 12,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.78 : 22,375.64 = 9,140.05 : x
  2. Step 2: Convert to fraction form
    16,213.78/22,375.64 = 9,140.05/x
  3. Step 3: Cross multiply
    16,213.78x = 22,375.64 × 9,140.05
  4. Step 4: Simplify right side
    16,213.78x = 204,514,468.38
  5. Step 5: Solve for x
    x = 204,514,468.38/16,213.78
  6. Step 6: Final answer
    x = 12,613.62

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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.