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Finding the Fourth Proportional to 20,238.08, 30,338.88 and 8,552

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Solution

The fourth proportional to 20,238.08, 30,338.88 and 8,552 is: 12,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.08 : 30,338.88 = 8,552 : x
  2. Step 2: Convert to fraction form
    20,238.08/30,338.88 = 8,552/x
  3. Step 3: Cross multiply
    20,238.08x = 30,338.88 × 8,552
  4. Step 4: Simplify right side
    20,238.08x = 259,458,101.76
  5. Step 5: Solve for x
    x = 259,458,101.76/20,238.08
  6. Step 6: Final answer
    x = 12,820.29

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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.