Home / 2,389.44-3,578.40-1,413.12

Finding the Fourth Proportional to 2,389.44, 3,578.40 and 1,413.12

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Solution

The fourth proportional to 2,389.44, 3,578.40 and 1,413.12 is: 2,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.44 : 3,578.40 = 1,413.12 : x
  2. Step 2: Convert to fraction form
    2,389.44/3,578.40 = 1,413.12/x
  3. Step 3: Cross multiply
    2,389.44x = 3,578.40 × 1,413.12
  4. Step 4: Simplify right side
    2,389.44x = 5,056,708.61
  5. Step 5: Solve for x
    x = 5,056,708.61/2,389.44
  6. Step 6: Final answer
    x = 2,116.27

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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.