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Finding the Fourth Proportional to 3,388.65, 5,083.83 and 1,413.63

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Solution

The fourth proportional to 3,388.65, 5,083.83 and 1,413.63 is: 2,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.65 : 5,083.83 = 1,413.63 : x
  2. Step 2: Convert to fraction form
    3,388.65/5,083.83 = 1,413.63/x
  3. Step 3: Cross multiply
    3,388.65x = 5,083.83 × 1,413.63
  4. Step 4: Simplify right side
    3,388.65x = 7,186,654.60
  5. Step 5: Solve for x
    x = 7,186,654.60/3,388.65
  6. Step 6: Final answer
    x = 2,120.80

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1.5x scale

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.