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Finding the Fourth Proportional to 47,496, 71,244 and 19,794

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Solution

The fourth proportional to 47,496, 71,244 and 19,794 is: 29,691

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,496 : 71,244 = 19,794 : x
  2. Step 2: Convert to fraction form
    47,496/71,244 = 19,794/x
  3. Step 3: Cross multiply
    47,496x = 71,244 × 19,794
  4. Step 4: Simplify right side
    47,496x = 1,410,203,736
  5. Step 5: Solve for x
    x = 1,410,203,736/47,496
  6. Step 6: Final answer
    x = 29,691

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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.