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Finding the Fourth Proportional to 27,978.60, 41,968.26 and 8,257.44

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Solution

The fourth proportional to 27,978.60, 41,968.26 and 8,257.44 is: 12,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.60 : 41,968.26 = 8,257.44 : x
  2. Step 2: Convert to fraction form
    27,978.60/41,968.26 = 8,257.44/x
  3. Step 3: Cross multiply
    27,978.60x = 41,968.26 × 8,257.44
  4. Step 4: Simplify right side
    27,978.60x = 346,550,388.85
  5. Step 5: Solve for x
    x = 346,550,388.85/27,978.60
  6. Step 6: Final answer
    x = 12,386.27

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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.