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Finding the Fourth Proportional to 27,875.78, 38,469.22 and 15,940.22

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Solution

The fourth proportional to 27,875.78, 38,469.22 and 15,940.22 is: 21,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.78 : 38,469.22 = 15,940.22 : x
  2. Step 2: Convert to fraction form
    27,875.78/38,469.22 = 15,940.22/x
  3. Step 3: Cross multiply
    27,875.78x = 38,469.22 × 15,940.22
  4. Step 4: Simplify right side
    27,875.78x = 613,207,830.03
  5. Step 5: Solve for x
    x = 613,207,830.03/27,875.78
  6. Step 6: Final answer
    x = 21,997.87

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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.