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Finding the Fourth Proportional to 21,770, 30,042.60 and 11,834

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Solution

The fourth proportional to 21,770, 30,042.60 and 11,834 is: 16,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770 : 30,042.60 = 11,834 : x
  2. Step 2: Convert to fraction form
    21,770/30,042.60 = 11,834/x
  3. Step 3: Cross multiply
    21,770x = 30,042.60 × 11,834
  4. Step 4: Simplify right side
    21,770x = 355,524,128.40
  5. Step 5: Solve for x
    x = 355,524,128.40/21,770
  6. Step 6: Final answer
    x = 16,330.92

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