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Finding the Fourth Proportional to 3,871.17, 5,809.19 and 2,413.17

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Solution

The fourth proportional to 3,871.17, 5,809.19 and 2,413.17 is: 3,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.17 : 5,809.19 = 2,413.17 : x
  2. Step 2: Convert to fraction form
    3,871.17/5,809.19 = 2,413.17/x
  3. Step 3: Cross multiply
    3,871.17x = 5,809.19 × 2,413.17
  4. Step 4: Simplify right side
    3,871.17x = 14,018,550.97
  5. Step 5: Solve for x
    x = 14,018,550.97/3,871.17
  6. Step 6: Final answer
    x = 3,621.27

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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.