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Finding the Fourth Proportional to 3,880.02, 5,820 and 1,413.98

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Solution

The fourth proportional to 3,880.02, 5,820 and 1,413.98 is: 2,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.02 : 5,820 = 1,413.98 : x
  2. Step 2: Convert to fraction form
    3,880.02/5,820 = 1,413.98/x
  3. Step 3: Cross multiply
    3,880.02x = 5,820 × 1,413.98
  4. Step 4: Simplify right side
    3,880.02x = 8,229,363.60
  5. Step 5: Solve for x
    x = 8,229,363.60/3,880.02
  6. Step 6: Final answer
    x = 2,120.96

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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.