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Finding the Fourth Proportional to 3,878.64, 5,818.20 and 1,413.68

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Solution

The fourth proportional to 3,878.64, 5,818.20 and 1,413.68 is: 2,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.64 : 5,818.20 = 1,413.68 : x
  2. Step 2: Convert to fraction form
    3,878.64/5,818.20 = 1,413.68/x
  3. Step 3: Cross multiply
    3,878.64x = 5,818.20 × 1,413.68
  4. Step 4: Simplify right side
    3,878.64x = 8,225,072.98
  5. Step 5: Solve for x
    x = 8,225,072.98/3,878.64
  6. Step 6: Final answer
    x = 2,120.61

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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.