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Finding the Fourth Proportional to 11,400, 17,100 and 3,609.04

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Solution

The fourth proportional to 11,400, 17,100 and 3,609.04 is: 5,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400 : 17,100 = 3,609.04 : x
  2. Step 2: Convert to fraction form
    11,400/17,100 = 3,609.04/x
  3. Step 3: Cross multiply
    11,400x = 17,100 × 3,609.04
  4. Step 4: Simplify right side
    11,400x = 61,714,584
  5. Step 5: Solve for x
    x = 61,714,584/11,400
  6. Step 6: Final answer
    x = 5,413.56

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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.