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Finding the Fourth Proportional to 2,942.63, 4,413.26 and 862.12

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Solution

The fourth proportional to 2,942.63, 4,413.26 and 862.12 is: 1,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.63 : 4,413.26 = 862.12 : x
  2. Step 2: Convert to fraction form
    2,942.63/4,413.26 = 862.12/x
  3. Step 3: Cross multiply
    2,942.63x = 4,413.26 × 862.12
  4. Step 4: Simplify right side
    2,942.63x = 3,804,750.83
  5. Step 5: Solve for x
    x = 3,804,750.83/2,942.63
  6. Step 6: Final answer
    x = 1,292.98

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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.