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Finding the Fourth Proportional to 27,978.09, 41,971.23 and 8,254.08

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Solution

The fourth proportional to 27,978.09, 41,971.23 and 8,254.08 is: 12,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.09 : 41,971.23 = 8,254.08 : x
  2. Step 2: Convert to fraction form
    27,978.09/41,971.23 = 8,254.08/x
  3. Step 3: Cross multiply
    27,978.09x = 41,971.23 × 8,254.08
  4. Step 4: Simplify right side
    27,978.09x = 346,433,890.12
  5. Step 5: Solve for x
    x = 346,433,890.12/27,978.09
  6. Step 6: Final answer
    x = 12,382.33

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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.