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Finding the Fourth Proportional to 21,634, 32,451 and 7,042

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Solution

The fourth proportional to 21,634, 32,451 and 7,042 is: 10,563

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634 : 32,451 = 7,042 : x
  2. Step 2: Convert to fraction form
    21,634/32,451 = 7,042/x
  3. Step 3: Cross multiply
    21,634x = 32,451 × 7,042
  4. Step 4: Simplify right side
    21,634x = 228,519,942
  5. Step 5: Solve for x
    x = 228,519,942/21,634
  6. Step 6: Final answer
    x = 10,563

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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.