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Finding the Fourth Proportional to 15,198.92, 20,978 and 9,884.48

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Solution

The fourth proportional to 15,198.92, 20,978 and 9,884.48 is: 13,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.92 : 20,978 = 9,884.48 : x
  2. Step 2: Convert to fraction form
    15,198.92/20,978 = 9,884.48/x
  3. Step 3: Cross multiply
    15,198.92x = 20,978 × 9,884.48
  4. Step 4: Simplify right side
    15,198.92x = 207,356,621.44
  5. Step 5: Solve for x
    x = 207,356,621.44/15,198.92
  6. Step 6: Final answer
    x = 13,642.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.