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Finding the Fourth Proportional to 21,844, 32,766 and 7,252

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Solution

The fourth proportional to 21,844, 32,766 and 7,252 is: 10,878

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,844 : 32,766 = 7,252 : x
  2. Step 2: Convert to fraction form
    21,844/32,766 = 7,252/x
  3. Step 3: Cross multiply
    21,844x = 32,766 × 7,252
  4. Step 4: Simplify right side
    21,844x = 237,619,032
  5. Step 5: Solve for x
    x = 237,619,032/21,844
  6. Step 6: Final answer
    x = 10,878

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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.