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Finding the Fourth Proportional to 38,322, 57,483 and 10,620

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Solution

The fourth proportional to 38,322, 57,483 and 10,620 is: 15,930

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,322 : 57,483 = 10,620 : x
  2. Step 2: Convert to fraction form
    38,322/57,483 = 10,620/x
  3. Step 3: Cross multiply
    38,322x = 57,483 × 10,620
  4. Step 4: Simplify right side
    38,322x = 610,469,460
  5. Step 5: Solve for x
    x = 610,469,460/38,322
  6. Step 6: Final answer
    x = 15,930

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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.