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Finding the Fourth Proportional to 11,978.44, 17,968.78 and 4,078.31

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Solution

The fourth proportional to 11,978.44, 17,968.78 and 4,078.31 is: 6,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.44 : 17,968.78 = 4,078.31 : x
  2. Step 2: Convert to fraction form
    11,978.44/17,968.78 = 4,078.31/x
  3. Step 3: Cross multiply
    11,978.44x = 17,968.78 × 4,078.31
  4. Step 4: Simplify right side
    11,978.44x = 73,282,255.16
  5. Step 5: Solve for x
    x = 73,282,255.16/11,978.44
  6. Step 6: Final answer
    x = 6,117.85

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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.