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Finding the Fourth Proportional to 2,277.67, 3,413.75 and 960.91

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Solution

The fourth proportional to 2,277.67, 3,413.75 and 960.91 is: 1,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.67 : 3,413.75 = 960.91 : x
  2. Step 2: Convert to fraction form
    2,277.67/3,413.75 = 960.91/x
  3. Step 3: Cross multiply
    2,277.67x = 3,413.75 × 960.91
  4. Step 4: Simplify right side
    2,277.67x = 3,280,289.44
  5. Step 5: Solve for x
    x = 3,280,289.44/2,277.67
  6. Step 6: Final answer
    x = 1,440.20

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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.