Home / 1,823.28-2,736.25-727.96

Finding the Fourth Proportional to 1,823.28, 2,736.25 and 727.96

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Solution

The fourth proportional to 1,823.28, 2,736.25 and 727.96 is: 1,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.28 : 2,736.25 = 727.96 : x
  2. Step 2: Convert to fraction form
    1,823.28/2,736.25 = 727.96/x
  3. Step 3: Cross multiply
    1,823.28x = 2,736.25 × 727.96
  4. Step 4: Simplify right side
    1,823.28x = 1,991,880.55
  5. Step 5: Solve for x
    x = 1,991,880.55/1,823.28
  6. Step 6: Final answer
    x = 1,092.47

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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.