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Finding the Fourth Proportional to 11,775.36, 17,656.83 and 5,198.43

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Solution

The fourth proportional to 11,775.36, 17,656.83 and 5,198.43 is: 7,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.36 : 17,656.83 = 5,198.43 : x
  2. Step 2: Convert to fraction form
    11,775.36/17,656.83 = 5,198.43/x
  3. Step 3: Cross multiply
    11,775.36x = 17,656.83 × 5,198.43
  4. Step 4: Simplify right side
    11,775.36x = 91,787,794.78
  5. Step 5: Solve for x
    x = 91,787,794.78/11,775.36
  6. Step 6: Final answer
    x = 7,794.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.