Home / 2,278.41-3,413.87-961.08

Finding the Fourth Proportional to 2,278.41, 3,413.87 and 961.08

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Solution

The fourth proportional to 2,278.41, 3,413.87 and 961.08 is: 1,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.41 : 3,413.87 = 961.08 : x
  2. Step 2: Convert to fraction form
    2,278.41/3,413.87 = 961.08/x
  3. Step 3: Cross multiply
    2,278.41x = 3,413.87 × 961.08
  4. Step 4: Simplify right side
    2,278.41x = 3,280,997.37
  5. Step 5: Solve for x
    x = 3,280,997.37/2,278.41
  6. Step 6: Final answer
    x = 1,440.04

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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.