Home / 3,198.68-4,413.81-1,782.14

Finding the Fourth Proportional to 3,198.68, 4,413.81 and 1,782.14

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Solution

The fourth proportional to 3,198.68, 4,413.81 and 1,782.14 is: 2,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.68 : 4,413.81 = 1,782.14 : x
  2. Step 2: Convert to fraction form
    3,198.68/4,413.81 = 1,782.14/x
  3. Step 3: Cross multiply
    3,198.68x = 4,413.81 × 1,782.14
  4. Step 4: Simplify right side
    3,198.68x = 7,866,027.35
  5. Step 5: Solve for x
    x = 7,866,027.35/3,198.68
  6. Step 6: Final answer
    x = 2,459.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.