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Finding the Fourth Proportional to 11,978.78, 17,968.17 and 3,214.58

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Solution

The fourth proportional to 11,978.78, 17,968.17 and 3,214.58 is: 4,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.78 : 17,968.17 = 3,214.58 : x
  2. Step 2: Convert to fraction form
    11,978.78/17,968.17 = 3,214.58/x
  3. Step 3: Cross multiply
    11,978.78x = 17,968.17 × 3,214.58
  4. Step 4: Simplify right side
    11,978.78x = 57,760,119.92
  5. Step 5: Solve for x
    x = 57,760,119.92/11,978.78
  6. Step 6: Final answer
    x = 4,821.87

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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.