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Finding the Fourth Proportional to 2,786.40, 3,843.56 and 1,842.24

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Solution

The fourth proportional to 2,786.40, 3,843.56 and 1,842.24 is: 2,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.40 : 3,843.56 = 1,842.24 : x
  2. Step 2: Convert to fraction form
    2,786.40/3,843.56 = 1,842.24/x
  3. Step 3: Cross multiply
    2,786.40x = 3,843.56 × 1,842.24
  4. Step 4: Simplify right side
    2,786.40x = 7,080,759.97
  5. Step 5: Solve for x
    x = 7,080,759.97/2,786.40
  6. Step 6: Final answer
    x = 2,541.19

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1.5x scale

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.