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Finding the Fourth Proportional to 27,800, 38,364.12 and 15,224.96

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Solution

The fourth proportional to 27,800, 38,364.12 and 15,224.96 is: 21,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800 : 38,364.12 = 15,224.96 : x
  2. Step 2: Convert to fraction form
    27,800/38,364.12 = 15,224.96/x
  3. Step 3: Cross multiply
    27,800x = 38,364.12 × 15,224.96
  4. Step 4: Simplify right side
    27,800x = 584,092,192.44
  5. Step 5: Solve for x
    x = 584,092,192.44/27,800
  6. Step 6: Final answer
    x = 21,010.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.