Home / 1,147.12-1,578.94-1,027.14

Finding the Fourth Proportional to 1,147.12, 1,578.94 and 1,027.14

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Solution

The fourth proportional to 1,147.12, 1,578.94 and 1,027.14 is: 1,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.12 : 1,578.94 = 1,027.14 : x
  2. Step 2: Convert to fraction form
    1,147.12/1,578.94 = 1,027.14/x
  3. Step 3: Cross multiply
    1,147.12x = 1,578.94 × 1,027.14
  4. Step 4: Simplify right side
    1,147.12x = 1,621,792.43
  5. Step 5: Solve for x
    x = 1,621,792.43/1,147.12
  6. Step 6: Final answer
    x = 1,413.79

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Why These Related Problems?

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