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Finding the Fourth Proportional to 8,413.02, 12,616.56 and 3,480.48

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Solution

The fourth proportional to 8,413.02, 12,616.56 and 3,480.48 is: 5,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.02 : 12,616.56 = 3,480.48 : x
  2. Step 2: Convert to fraction form
    8,413.02/12,616.56 = 3,480.48/x
  3. Step 3: Cross multiply
    8,413.02x = 12,616.56 × 3,480.48
  4. Step 4: Simplify right side
    8,413.02x = 43,911,684.75
  5. Step 5: Solve for x
    x = 43,911,684.75/8,413.02
  6. Step 6: Final answer
    x = 5,219.49

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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.