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Finding the Fourth Proportional to 34,675, 47,857.99 and 19,771

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Solution

The fourth proportional to 34,675, 47,857.99 and 19,771 is: 27,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,675 : 47,857.99 = 19,771 : x
  2. Step 2: Convert to fraction form
    34,675/47,857.99 = 19,771/x
  3. Step 3: Cross multiply
    34,675x = 47,857.99 × 19,771
  4. Step 4: Simplify right side
    34,675x = 946,200,320.29
  5. Step 5: Solve for x
    x = 946,200,320.29/34,675
  6. Step 6: Final answer
    x = 27,287.68

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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.