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Finding the Fourth Proportional to 1,811.83, 2,500.36 and 1,413.94

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Solution

The fourth proportional to 1,811.83, 2,500.36 and 1,413.94 is: 1,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.83 : 2,500.36 = 1,413.94 : x
  2. Step 2: Convert to fraction form
    1,811.83/2,500.36 = 1,413.94/x
  3. Step 3: Cross multiply
    1,811.83x = 2,500.36 × 1,413.94
  4. Step 4: Simplify right side
    1,811.83x = 3,535,351.95
  5. Step 5: Solve for x
    x = 3,535,351.95/1,811.83
  6. Step 6: Final answer
    x = 1,951.26

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