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Finding the Fourth Proportional to 17,101.78, 25,655.10 and 5,413.78

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Solution

The fourth proportional to 17,101.78, 25,655.10 and 5,413.78 is: 8,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.78 : 25,655.10 = 5,413.78 : x
  2. Step 2: Convert to fraction form
    17,101.78/25,655.10 = 5,413.78/x
  3. Step 3: Cross multiply
    17,101.78x = 25,655.10 × 5,413.78
  4. Step 4: Simplify right side
    17,101.78x = 138,891,067.28
  5. Step 5: Solve for x
    x = 138,891,067.28/17,101.78
  6. Step 6: Final answer
    x = 8,121.44

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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.