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Finding the Fourth Proportional to 20,836.44, 31,254.80 and 8,524.44

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Solution

The fourth proportional to 20,836.44, 31,254.80 and 8,524.44 is: 12,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,836.44 : 31,254.80 = 8,524.44 : x
  2. Step 2: Convert to fraction form
    20,836.44/31,254.80 = 8,524.44/x
  3. Step 3: Cross multiply
    20,836.44x = 31,254.80 × 8,524.44
  4. Step 4: Simplify right side
    20,836.44x = 266,429,667.31
  5. Step 5: Solve for x
    x = 266,429,667.31/20,836.44
  6. Step 6: Final answer
    x = 12,786.72

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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.