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Finding the Fourth Proportional to 21,622, 29,838.40 and 11,686

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Solution

The fourth proportional to 21,622, 29,838.40 and 11,686 is: 16,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622 : 29,838.40 = 11,686 : x
  2. Step 2: Convert to fraction form
    21,622/29,838.40 = 11,686/x
  3. Step 3: Cross multiply
    21,622x = 29,838.40 × 11,686
  4. Step 4: Simplify right side
    21,622x = 348,691,542.40
  5. Step 5: Solve for x
    x = 348,691,542.40/21,622
  6. Step 6: Final answer
    x = 16,126.70

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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.