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Finding the Fourth Proportional to 11,978.28, 17,950.94 and 6,122.64

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Solution

The fourth proportional to 11,978.28, 17,950.94 and 6,122.64 is: 9,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.28 : 17,950.94 = 6,122.64 : x
  2. Step 2: Convert to fraction form
    11,978.28/17,950.94 = 6,122.64/x
  3. Step 3: Cross multiply
    11,978.28x = 17,950.94 × 6,122.64
  4. Step 4: Simplify right side
    11,978.28x = 109,907,143.28
  5. Step 5: Solve for x
    x = 109,907,143.28/11,978.28
  6. Step 6: Final answer
    x = 9,175.54

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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.