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Finding the Fourth Proportional to 21,874, 32,811 and 5,458

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Solution

The fourth proportional to 21,874, 32,811 and 5,458 is: 8,187

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874 : 32,811 = 5,458 : x
  2. Step 2: Convert to fraction form
    21,874/32,811 = 5,458/x
  3. Step 3: Cross multiply
    21,874x = 32,811 × 5,458
  4. Step 4: Simplify right side
    21,874x = 179,082,438
  5. Step 5: Solve for x
    x = 179,082,438/21,874
  6. Step 6: Final answer
    x = 8,187

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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.