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Finding the Fourth Proportional to 20,274, 30,411 and 7,962

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Solution

The fourth proportional to 20,274, 30,411 and 7,962 is: 11,943

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274 : 30,411 = 7,962 : x
  2. Step 2: Convert to fraction form
    20,274/30,411 = 7,962/x
  3. Step 3: Cross multiply
    20,274x = 30,411 × 7,962
  4. Step 4: Simplify right side
    20,274x = 242,132,382
  5. Step 5: Solve for x
    x = 242,132,382/20,274
  6. Step 6: Final answer
    x = 11,943

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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.