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Finding the Fourth Proportional to 20,229, 30,343.48 and 6,378

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Solution

The fourth proportional to 20,229, 30,343.48 and 6,378 is: 9,566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229 : 30,343.48 = 6,378 : x
  2. Step 2: Convert to fraction form
    20,229/30,343.48 = 6,378/x
  3. Step 3: Cross multiply
    20,229x = 30,343.48 × 6,378
  4. Step 4: Simplify right side
    20,229x = 193,530,715.44
  5. Step 5: Solve for x
    x = 193,530,715.44/20,229
  6. Step 6: Final answer
    x = 9,566.99

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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.