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Finding the Fourth Proportional to 2,942.80, 4,413.24 and 890.32

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Solution

The fourth proportional to 2,942.80, 4,413.24 and 890.32 is: 1,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.80 : 4,413.24 = 890.32 : x
  2. Step 2: Convert to fraction form
    2,942.80/4,413.24 = 890.32/x
  3. Step 3: Cross multiply
    2,942.80x = 4,413.24 × 890.32
  4. Step 4: Simplify right side
    2,942.80x = 3,929,195.84
  5. Step 5: Solve for x
    x = 3,929,195.84/2,942.80
  6. Step 6: Final answer
    x = 1,335.19

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1.5x scale

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.