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Finding the Fourth Proportional to 20,536, 30,800.92 and 5,743

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Solution

The fourth proportional to 20,536, 30,800.92 and 5,743 is: 8,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536 : 30,800.92 = 5,743 : x
  2. Step 2: Convert to fraction form
    20,536/30,800.92 = 5,743/x
  3. Step 3: Cross multiply
    20,536x = 30,800.92 × 5,743
  4. Step 4: Simplify right side
    20,536x = 176,889,683.56
  5. Step 5: Solve for x
    x = 176,889,683.56/20,536
  6. Step 6: Final answer
    x = 8,613.64

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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.