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Finding the Fourth Proportional to 21,735, 29,994.30 and 11,799

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Solution

The fourth proportional to 21,735, 29,994.30 and 11,799 is: 16,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735 : 29,994.30 = 11,799 : x
  2. Step 2: Convert to fraction form
    21,735/29,994.30 = 11,799/x
  3. Step 3: Cross multiply
    21,735x = 29,994.30 × 11,799
  4. Step 4: Simplify right side
    21,735x = 353,902,745.70
  5. Step 5: Solve for x
    x = 353,902,745.70/21,735
  6. Step 6: Final answer
    x = 16,282.62

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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.