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Finding the Fourth Proportional to 20,414.51, 30,613.86 and 7,932.88

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Solution

The fourth proportional to 20,414.51, 30,613.86 and 7,932.88 is: 11,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.51 : 30,613.86 = 7,932.88 : x
  2. Step 2: Convert to fraction form
    20,414.51/30,613.86 = 7,932.88/x
  3. Step 3: Cross multiply
    20,414.51x = 30,613.86 × 7,932.88
  4. Step 4: Simplify right side
    20,414.51x = 242,856,115.98
  5. Step 5: Solve for x
    x = 242,856,115.98/20,414.51
  6. Step 6: Final answer
    x = 11,896.25

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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.