Home / 1,823.42-2,736.75-850.07

Finding the Fourth Proportional to 1,823.42, 2,736.75 and 850.07

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Solution

The fourth proportional to 1,823.42, 2,736.75 and 850.07 is: 1,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.42 : 2,736.75 = 850.07 : x
  2. Step 2: Convert to fraction form
    1,823.42/2,736.75 = 850.07/x
  3. Step 3: Cross multiply
    1,823.42x = 2,736.75 × 850.07
  4. Step 4: Simplify right side
    1,823.42x = 2,326,415.39
  5. Step 5: Solve for x
    x = 2,326,415.39/1,823.42
  6. Step 6: Final answer
    x = 1,275.86

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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.