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Finding the Fourth Proportional to 27,976.86, 41,909.07 and 13,894.28

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Solution

The fourth proportional to 27,976.86, 41,909.07 and 13,894.28 is: 20,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976.86 : 41,909.07 = 13,894.28 : x
  2. Step 2: Convert to fraction form
    27,976.86/41,909.07 = 13,894.28/x
  3. Step 3: Cross multiply
    27,976.86x = 41,909.07 × 13,894.28
  4. Step 4: Simplify right side
    27,976.86x = 582,296,549.50
  5. Step 5: Solve for x
    x = 582,296,549.50/27,976.86
  6. Step 6: Final answer
    x = 20,813.51

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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.