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Finding the Fourth Proportional to 55,474, 83,211 and 18,538

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Solution

The fourth proportional to 55,474, 83,211 and 18,538 is: 27,807

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,474 : 83,211 = 18,538 : x
  2. Step 2: Convert to fraction form
    55,474/83,211 = 18,538/x
  3. Step 3: Cross multiply
    55,474x = 83,211 × 18,538
  4. Step 4: Simplify right side
    55,474x = 1,542,565,518
  5. Step 5: Solve for x
    x = 1,542,565,518/55,474
  6. Step 6: Final answer
    x = 27,807

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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.