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Finding the Fourth Proportional to 1,413.42, 2,116 and 1,049.82

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Solution

The fourth proportional to 1,413.42, 2,116 and 1,049.82 is: 1,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.42 : 2,116 = 1,049.82 : x
  2. Step 2: Convert to fraction form
    1,413.42/2,116 = 1,049.82/x
  3. Step 3: Cross multiply
    1,413.42x = 2,116 × 1,049.82
  4. Step 4: Simplify right side
    1,413.42x = 2,221,419.12
  5. Step 5: Solve for x
    x = 2,221,419.12/1,413.42
  6. Step 6: Final answer
    x = 1,571.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.