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Finding the Fourth Proportional to 2,274.67, 3,413.49 and 813.70

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Solution

The fourth proportional to 2,274.67, 3,413.49 and 813.70 is: 1,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.67 : 3,413.49 = 813.70 : x
  2. Step 2: Convert to fraction form
    2,274.67/3,413.49 = 813.70/x
  3. Step 3: Cross multiply
    2,274.67x = 3,413.49 × 813.70
  4. Step 4: Simplify right side
    2,274.67x = 2,777,556.81
  5. Step 5: Solve for x
    x = 2,777,556.81/2,274.67
  6. Step 6: Final answer
    x = 1,221.08

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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.