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Finding the Fourth Proportional to 57,634, 86,451 and 18,722

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Solution

The fourth proportional to 57,634, 86,451 and 18,722 is: 28,083

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,634 : 86,451 = 18,722 : x
  2. Step 2: Convert to fraction form
    57,634/86,451 = 18,722/x
  3. Step 3: Cross multiply
    57,634x = 86,451 × 18,722
  4. Step 4: Simplify right side
    57,634x = 1,618,535,622
  5. Step 5: Solve for x
    x = 1,618,535,622/57,634
  6. Step 6: Final answer
    x = 28,083

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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.