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Finding the Fourth Proportional to 20,340, 30,519.12 and 9,249.60

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Solution

The fourth proportional to 20,340, 30,519.12 and 9,249.60 is: 13,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,340 : 30,519.12 = 9,249.60 : x
  2. Step 2: Convert to fraction form
    20,340/30,519.12 = 9,249.60/x
  3. Step 3: Cross multiply
    20,340x = 30,519.12 × 9,249.60
  4. Step 4: Simplify right side
    20,340x = 282,289,652.35
  5. Step 5: Solve for x
    x = 282,289,652.35/20,340
  6. Step 6: Final answer
    x = 13,878.55

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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.