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Finding the Fourth Proportional to 5,610.78, 8,413.14 and 2,321.82

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Solution

The fourth proportional to 5,610.78, 8,413.14 and 2,321.82 is: 3,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.78 : 8,413.14 = 2,321.82 : x
  2. Step 2: Convert to fraction form
    5,610.78/8,413.14 = 2,321.82/x
  3. Step 3: Cross multiply
    5,610.78x = 8,413.14 × 2,321.82
  4. Step 4: Simplify right side
    5,610.78x = 19,533,796.71
  5. Step 5: Solve for x
    x = 19,533,796.71/5,610.78
  6. Step 6: Final answer
    x = 3,481.48

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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.