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Finding the Fourth Proportional to 27,978.10, 38,592.90 and 17,224.80

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Solution

The fourth proportional to 27,978.10, 38,592.90 and 17,224.80 is: 23,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.10 : 38,592.90 = 17,224.80 : x
  2. Step 2: Convert to fraction form
    27,978.10/38,592.90 = 17,224.80/x
  3. Step 3: Cross multiply
    27,978.10x = 38,592.90 × 17,224.80
  4. Step 4: Simplify right side
    27,978.10x = 664,754,983.92
  5. Step 5: Solve for x
    x = 664,754,983.92/27,978.10
  6. Step 6: Final answer
    x = 23,759.83

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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.