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Finding the Fourth Proportional to 21,890, 32,835 and 5,474

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Solution

The fourth proportional to 21,890, 32,835 and 5,474 is: 8,211

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,890 : 32,835 = 5,474 : x
  2. Step 2: Convert to fraction form
    21,890/32,835 = 5,474/x
  3. Step 3: Cross multiply
    21,890x = 32,835 × 5,474
  4. Step 4: Simplify right side
    21,890x = 179,738,790
  5. Step 5: Solve for x
    x = 179,738,790/21,890
  6. Step 6: Final answer
    x = 8,211

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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.