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Finding the Fourth Proportional to 3,144.25, 4,716.25 and 804.23

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Solution

The fourth proportional to 3,144.25, 4,716.25 and 804.23 is: 1,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.25 : 4,716.25 = 804.23 : x
  2. Step 2: Convert to fraction form
    3,144.25/4,716.25 = 804.23/x
  3. Step 3: Cross multiply
    3,144.25x = 4,716.25 × 804.23
  4. Step 4: Simplify right side
    3,144.25x = 3,792,949.74
  5. Step 5: Solve for x
    x = 3,792,949.74/3,144.25
  6. Step 6: Final answer
    x = 1,206.31

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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.