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Finding the Fourth Proportional to 2,517.97, 3,478.31 and 2,394.96

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Solution

The fourth proportional to 2,517.97, 3,478.31 and 2,394.96 is: 3,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.97 : 3,478.31 = 2,394.96 : x
  2. Step 2: Convert to fraction form
    2,517.97/3,478.31 = 2,394.96/x
  3. Step 3: Cross multiply
    2,517.97x = 3,478.31 × 2,394.96
  4. Step 4: Simplify right side
    2,517.97x = 8,330,413.32
  5. Step 5: Solve for x
    x = 8,330,413.32/2,517.97
  6. Step 6: Final answer
    x = 3,308.38

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.