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Finding the Fourth Proportional to 11,764, 17,645.49 and 2,998.65

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Solution

The fourth proportional to 11,764, 17,645.49 and 2,998.65 is: 4,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764 : 17,645.49 = 2,998.65 : x
  2. Step 2: Convert to fraction form
    11,764/17,645.49 = 2,998.65/x
  3. Step 3: Cross multiply
    11,764x = 17,645.49 × 2,998.65
  4. Step 4: Simplify right side
    11,764x = 52,912,703.95
  5. Step 5: Solve for x
    x = 52,912,703.95/11,764
  6. Step 6: Final answer
    x = 4,497.85

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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.