Home / 2,056.67-3,084.94-823.75

Finding the Fourth Proportional to 2,056.67, 3,084.94 and 823.75

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Solution

The fourth proportional to 2,056.67, 3,084.94 and 823.75 is: 1,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.67 : 3,084.94 = 823.75 : x
  2. Step 2: Convert to fraction form
    2,056.67/3,084.94 = 823.75/x
  3. Step 3: Cross multiply
    2,056.67x = 3,084.94 × 823.75
  4. Step 4: Simplify right side
    2,056.67x = 2,541,208.01
  5. Step 5: Solve for x
    x = 2,541,208.01/2,056.67
  6. Step 6: Final answer
    x = 1,235.59

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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.