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Finding the Fourth Proportional to 20,729.68, 31,097.88 and 8,249.68

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Solution

The fourth proportional to 20,729.68, 31,097.88 and 8,249.68 is: 12,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,729.68 : 31,097.88 = 8,249.68 : x
  2. Step 2: Convert to fraction form
    20,729.68/31,097.88 = 8,249.68/x
  3. Step 3: Cross multiply
    20,729.68x = 31,097.88 × 8,249.68
  4. Step 4: Simplify right side
    20,729.68x = 256,547,558.68
  5. Step 5: Solve for x
    x = 256,547,558.68/20,729.68
  6. Step 6: Final answer
    x = 12,375.86

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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.