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Finding the Fourth Proportional to 20,250.64, 30,379.20 and 8,564

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Solution

The fourth proportional to 20,250.64, 30,379.20 and 8,564 is: 12,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,250.64 : 30,379.20 = 8,564 : x
  2. Step 2: Convert to fraction form
    20,250.64/30,379.20 = 8,564/x
  3. Step 3: Cross multiply
    20,250.64x = 30,379.20 × 8,564
  4. Step 4: Simplify right side
    20,250.64x = 260,167,468.80
  5. Step 5: Solve for x
    x = 260,167,468.80/20,250.64
  6. Step 6: Final answer
    x = 12,847.37

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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.