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Finding the Fourth Proportional to 11,339, 17,008.50 and 4,413.50

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Solution

The fourth proportional to 11,339, 17,008.50 and 4,413.50 is: 6,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339 : 17,008.50 = 4,413.50 : x
  2. Step 2: Convert to fraction form
    11,339/17,008.50 = 4,413.50/x
  3. Step 3: Cross multiply
    11,339x = 17,008.50 × 4,413.50
  4. Step 4: Simplify right side
    11,339x = 75,067,014.75
  5. Step 5: Solve for x
    x = 75,067,014.75/11,339
  6. Step 6: Final answer
    x = 6,620.25

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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.