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Finding the Fourth Proportional to 11,978.22, 17,968.56 and 4,588.92

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Solution

The fourth proportional to 11,978.22, 17,968.56 and 4,588.92 is: 6,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.22 : 17,968.56 = 4,588.92 : x
  2. Step 2: Convert to fraction form
    11,978.22/17,968.56 = 4,588.92/x
  3. Step 3: Cross multiply
    11,978.22x = 17,968.56 × 4,588.92
  4. Step 4: Simplify right side
    11,978.22x = 82,456,284.36
  5. Step 5: Solve for x
    x = 82,456,284.36/11,978.22
  6. Step 6: Final answer
    x = 6,883.85

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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.