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Finding the Fourth Proportional to 20,543.20, 30,808 and 6,688.96

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Solution

The fourth proportional to 20,543.20, 30,808 and 6,688.96 is: 10,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.20 : 30,808 = 6,688.96 : x
  2. Step 2: Convert to fraction form
    20,543.20/30,808 = 6,688.96/x
  3. Step 3: Cross multiply
    20,543.20x = 30,808 × 6,688.96
  4. Step 4: Simplify right side
    20,543.20x = 206,073,479.68
  5. Step 5: Solve for x
    x = 206,073,479.68/20,543.20
  6. Step 6: Final answer
    x = 10,031.23

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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.