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Finding the Fourth Proportional to 2,243.50, 3,366.31 and 857.33

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Solution

The fourth proportional to 2,243.50, 3,366.31 and 857.33 is: 1,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.50 : 3,366.31 = 857.33 : x
  2. Step 2: Convert to fraction form
    2,243.50/3,366.31 = 857.33/x
  3. Step 3: Cross multiply
    2,243.50x = 3,366.31 × 857.33
  4. Step 4: Simplify right side
    2,243.50x = 2,886,052.74
  5. Step 5: Solve for x
    x = 2,886,052.74/2,243.50
  6. Step 6: Final answer
    x = 1,286.41

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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.