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Finding the Fourth Proportional to 11,790, 17,689.56 and 3,998.79

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Solution

The fourth proportional to 11,790, 17,689.56 and 3,998.79 is: 5,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790 : 17,689.56 = 3,998.79 : x
  2. Step 2: Convert to fraction form
    11,790/17,689.56 = 3,998.79/x
  3. Step 3: Cross multiply
    11,790x = 17,689.56 × 3,998.79
  4. Step 4: Simplify right side
    11,790x = 70,736,835.63
  5. Step 5: Solve for x
    x = 70,736,835.63/11,790
  6. Step 6: Final answer
    x = 5,999.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.