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Finding the Fourth Proportional to 21,158, 31,737 and 8,846

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Solution

The fourth proportional to 21,158, 31,737 and 8,846 is: 13,269

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158 : 31,737 = 8,846 : x
  2. Step 2: Convert to fraction form
    21,158/31,737 = 8,846/x
  3. Step 3: Cross multiply
    21,158x = 31,737 × 8,846
  4. Step 4: Simplify right side
    21,158x = 280,745,502
  5. Step 5: Solve for x
    x = 280,745,502/21,158
  6. Step 6: Final answer
    x = 13,269

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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.