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Finding the Fourth Proportional to 2,941.94, 4,413.42 and 861.98

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Solution

The fourth proportional to 2,941.94, 4,413.42 and 861.98 is: 1,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.94 : 4,413.42 = 861.98 : x
  2. Step 2: Convert to fraction form
    2,941.94/4,413.42 = 861.98/x
  3. Step 3: Cross multiply
    2,941.94x = 4,413.42 × 861.98
  4. Step 4: Simplify right side
    2,941.94x = 3,804,257.70
  5. Step 5: Solve for x
    x = 3,804,257.70/2,941.94
  6. Step 6: Final answer
    x = 1,293.11

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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.