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Finding the Fourth Proportional to 38,422, 57,633 and 10,720

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Solution

The fourth proportional to 38,422, 57,633 and 10,720 is: 16,080

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422 : 57,633 = 10,720 : x
  2. Step 2: Convert to fraction form
    38,422/57,633 = 10,720/x
  3. Step 3: Cross multiply
    38,422x = 57,633 × 10,720
  4. Step 4: Simplify right side
    38,422x = 617,825,760
  5. Step 5: Solve for x
    x = 617,825,760/38,422
  6. Step 6: Final answer
    x = 16,080

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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.