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Finding the Fourth Proportional to 8,961.64, 13,442.49 and 3,413.48

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Solution

The fourth proportional to 8,961.64, 13,442.49 and 3,413.48 is: 5,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.64 : 13,442.49 = 3,413.48 : x
  2. Step 2: Convert to fraction form
    8,961.64/13,442.49 = 3,413.48/x
  3. Step 3: Cross multiply
    8,961.64x = 13,442.49 × 3,413.48
  4. Step 4: Simplify right side
    8,961.64x = 45,885,603.55
  5. Step 5: Solve for x
    x = 45,885,603.55/8,961.64
  6. Step 6: Final answer
    x = 5,120.23

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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.