Home / 2,282.80-3,413.40-1,699.60

Finding the Fourth Proportional to 2,282.80, 3,413.40 and 1,699.60

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Solution

The fourth proportional to 2,282.80, 3,413.40 and 1,699.60 is: 2,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.80 : 3,413.40 = 1,699.60 : x
  2. Step 2: Convert to fraction form
    2,282.80/3,413.40 = 1,699.60/x
  3. Step 3: Cross multiply
    2,282.80x = 3,413.40 × 1,699.60
  4. Step 4: Simplify right side
    2,282.80x = 5,801,414.64
  5. Step 5: Solve for x
    x = 5,801,414.64/2,282.80
  6. Step 6: Final answer
    x = 2,541.36

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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.