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Finding the Fourth Proportional to 21,878, 32,817 and 5,462

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Solution

The fourth proportional to 21,878, 32,817 and 5,462 is: 8,193

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878 : 32,817 = 5,462 : x
  2. Step 2: Convert to fraction form
    21,878/32,817 = 5,462/x
  3. Step 3: Cross multiply
    21,878x = 32,817 × 5,462
  4. Step 4: Simplify right side
    21,878x = 179,246,454
  5. Step 5: Solve for x
    x = 179,246,454/21,878
  6. Step 6: Final answer
    x = 8,193

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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.