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Finding the Fourth Proportional to 20,188, 30,282.27 and 6,337

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Solution

The fourth proportional to 20,188, 30,282.27 and 6,337 is: 9,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188 : 30,282.27 = 6,337 : x
  2. Step 2: Convert to fraction form
    20,188/30,282.27 = 6,337/x
  3. Step 3: Cross multiply
    20,188x = 30,282.27 × 6,337
  4. Step 4: Simplify right side
    20,188x = 191,898,744.99
  5. Step 5: Solve for x
    x = 191,898,744.99/20,188
  6. Step 6: Final answer
    x = 9,505.58

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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.