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Finding the Fourth Proportional to 11,817, 17,725.50 and 3,609

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Solution

The fourth proportional to 11,817, 17,725.50 and 3,609 is: 5,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817 : 17,725.50 = 3,609 : x
  2. Step 2: Convert to fraction form
    11,817/17,725.50 = 3,609/x
  3. Step 3: Cross multiply
    11,817x = 17,725.50 × 3,609
  4. Step 4: Simplify right side
    11,817x = 63,971,329.50
  5. Step 5: Solve for x
    x = 63,971,329.50/11,817
  6. Step 6: Final answer
    x = 5,413.50

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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.