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Finding the Fourth Proportional to 2,275.76, 3,413.94 and 815.08

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Solution

The fourth proportional to 2,275.76, 3,413.94 and 815.08 is: 1,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.76 : 3,413.94 = 815.08 : x
  2. Step 2: Convert to fraction form
    2,275.76/3,413.94 = 815.08/x
  3. Step 3: Cross multiply
    2,275.76x = 3,413.94 × 815.08
  4. Step 4: Simplify right side
    2,275.76x = 2,782,634.22
  5. Step 5: Solve for x
    x = 2,782,634.22/2,275.76
  6. Step 6: Final answer
    x = 1,222.73

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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.