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Finding the Fourth Proportional to 11,978.92, 17,968.44 and 4,182.25

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Solution

The fourth proportional to 11,978.92, 17,968.44 and 4,182.25 is: 6,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.92 : 17,968.44 = 4,182.25 : x
  2. Step 2: Convert to fraction form
    11,978.92/17,968.44 = 4,182.25/x
  3. Step 3: Cross multiply
    11,978.92x = 17,968.44 × 4,182.25
  4. Step 4: Simplify right side
    11,978.92x = 75,148,508.19
  5. Step 5: Solve for x
    x = 75,148,508.19/11,978.92
  6. Step 6: Final answer
    x = 6,273.40

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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.