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Finding the Fourth Proportional to 27,978.30, 41,974.23 and 8,256.42

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Solution

The fourth proportional to 27,978.30, 41,974.23 and 8,256.42 is: 12,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.30 : 41,974.23 = 8,256.42 : x
  2. Step 2: Convert to fraction form
    27,978.30/41,974.23 = 8,256.42/x
  3. Step 3: Cross multiply
    27,978.30x = 41,974.23 × 8,256.42
  4. Step 4: Simplify right side
    27,978.30x = 346,556,872.06
  5. Step 5: Solve for x
    x = 346,556,872.06/27,978.30
  6. Step 6: Final answer
    x = 12,386.63

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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.