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Finding the Fourth Proportional to 12,205.16, 16,843.16 and 7,724.24

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Solution

The fourth proportional to 12,205.16, 16,843.16 and 7,724.24 is: 10,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.16 : 16,843.16 = 7,724.24 : x
  2. Step 2: Convert to fraction form
    12,205.16/16,843.16 = 7,724.24/x
  3. Step 3: Cross multiply
    12,205.16x = 16,843.16 × 7,724.24
  4. Step 4: Simplify right side
    12,205.16x = 130,100,610.20
  5. Step 5: Solve for x
    x = 130,100,610.20/12,205.16
  6. Step 6: Final answer
    x = 10,659.48

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