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Finding the Fourth Proportional to 3,674.49, 5,511.78 and 2,942.25

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Solution

The fourth proportional to 3,674.49, 5,511.78 and 2,942.25 is: 4,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.49 : 5,511.78 = 2,942.25 : x
  2. Step 2: Convert to fraction form
    3,674.49/5,511.78 = 2,942.25/x
  3. Step 3: Cross multiply
    3,674.49x = 5,511.78 × 2,942.25
  4. Step 4: Simplify right side
    3,674.49x = 16,217,034.71
  5. Step 5: Solve for x
    x = 16,217,034.71/3,674.49
  6. Step 6: Final answer
    x = 4,413.41

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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.