Home / 3,022.07-4,532.77-942.14

Finding the Fourth Proportional to 3,022.07, 4,532.77 and 942.14

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Solution

The fourth proportional to 3,022.07, 4,532.77 and 942.14 is: 1,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.07 : 4,532.77 = 942.14 : x
  2. Step 2: Convert to fraction form
    3,022.07/4,532.77 = 942.14/x
  3. Step 3: Cross multiply
    3,022.07x = 4,532.77 × 942.14
  4. Step 4: Simplify right side
    3,022.07x = 4,270,499.22
  5. Step 5: Solve for x
    x = 4,270,499.22/3,022.07
  6. Step 6: Final answer
    x = 1,413.10

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1.5x scale

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.