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Finding the Fourth Proportional to 20,200.88, 30,276 and 10,817.64

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Solution

The fourth proportional to 20,200.88, 30,276 and 10,817.64 is: 16,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.88 : 30,276 = 10,817.64 : x
  2. Step 2: Convert to fraction form
    20,200.88/30,276 = 10,817.64/x
  3. Step 3: Cross multiply
    20,200.88x = 30,276 × 10,817.64
  4. Step 4: Simplify right side
    20,200.88x = 327,514,868.64
  5. Step 5: Solve for x
    x = 327,514,868.64/20,200.88
  6. Step 6: Final answer
    x = 16,212.90

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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.