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Finding the Fourth Proportional to 21,601, 29,809.38 and 11,665

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Solution

The fourth proportional to 21,601, 29,809.38 and 11,665 is: 16,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,601 : 29,809.38 = 11,665 : x
  2. Step 2: Convert to fraction form
    21,601/29,809.38 = 11,665/x
  3. Step 3: Cross multiply
    21,601x = 29,809.38 × 11,665
  4. Step 4: Simplify right side
    21,601x = 347,726,417.70
  5. Step 5: Solve for x
    x = 347,726,417.70/21,601
  6. Step 6: Final answer
    x = 16,097.70

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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.