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Finding the Fourth Proportional to 20,396.80, 30,591.84 and 6,544

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Solution

The fourth proportional to 20,396.80, 30,591.84 and 6,544 is: 9,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,396.80 : 30,591.84 = 6,544 : x
  2. Step 2: Convert to fraction form
    20,396.80/30,591.84 = 6,544/x
  3. Step 3: Cross multiply
    20,396.80x = 30,591.84 × 6,544
  4. Step 4: Simplify right side
    20,396.80x = 200,193,000.96
  5. Step 5: Solve for x
    x = 200,193,000.96/20,396.80
  6. Step 6: Final answer
    x = 9,814.92

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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.