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Finding the Fourth Proportional to 20,242.68, 30,367.24 and 8,556

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Solution

The fourth proportional to 20,242.68, 30,367.24 and 8,556 is: 12,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.68 : 30,367.24 = 8,556 : x
  2. Step 2: Convert to fraction form
    20,242.68/30,367.24 = 8,556/x
  3. Step 3: Cross multiply
    20,242.68x = 30,367.24 × 8,556
  4. Step 4: Simplify right side
    20,242.68x = 259,822,105.44
  5. Step 5: Solve for x
    x = 259,822,105.44/20,242.68
  6. Step 6: Final answer
    x = 12,835.36

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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.