Home / 2,743.44-3,785-1,563.68

Finding the Fourth Proportional to 2,743.44, 3,785 and 1,563.68

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Solution

The fourth proportional to 2,743.44, 3,785 and 1,563.68 is: 2,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.44 : 3,785 = 1,563.68 : x
  2. Step 2: Convert to fraction form
    2,743.44/3,785 = 1,563.68/x
  3. Step 3: Cross multiply
    2,743.44x = 3,785 × 1,563.68
  4. Step 4: Simplify right side
    2,743.44x = 5,918,528.80
  5. Step 5: Solve for x
    x = 5,918,528.80/2,743.44
  6. Step 6: Final answer
    x = 2,157.34

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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.