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Finding the Fourth Proportional to 2,276.97, 3,413.96 and 890.46

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Solution

The fourth proportional to 2,276.97, 3,413.96 and 890.46 is: 1,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.97 : 3,413.96 = 890.46 : x
  2. Step 2: Convert to fraction form
    2,276.97/3,413.96 = 890.46/x
  3. Step 3: Cross multiply
    2,276.97x = 3,413.96 × 890.46
  4. Step 4: Simplify right side
    2,276.97x = 3,039,990.37
  5. Step 5: Solve for x
    x = 3,039,990.37/2,276.97
  6. Step 6: Final answer
    x = 1,335.10

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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.