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Finding the Fourth Proportional to 21,583.44, 29,781 and 13,194

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Solution

The fourth proportional to 21,583.44, 29,781 and 13,194 is: 18,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,583.44 : 29,781 = 13,194 : x
  2. Step 2: Convert to fraction form
    21,583.44/29,781 = 13,194/x
  3. Step 3: Cross multiply
    21,583.44x = 29,781 × 13,194
  4. Step 4: Simplify right side
    21,583.44x = 392,930,514
  5. Step 5: Solve for x
    x = 392,930,514/21,583.44
  6. Step 6: Final answer
    x = 18,205.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.