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Finding the Fourth Proportional to 11,723, 17,584.50 and 3,515

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Solution

The fourth proportional to 11,723, 17,584.50 and 3,515 is: 5,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723 : 17,584.50 = 3,515 : x
  2. Step 2: Convert to fraction form
    11,723/17,584.50 = 3,515/x
  3. Step 3: Cross multiply
    11,723x = 17,584.50 × 3,515
  4. Step 4: Simplify right side
    11,723x = 61,809,517.50
  5. Step 5: Solve for x
    x = 61,809,517.50/11,723
  6. Step 6: Final answer
    x = 5,272.50

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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.