Home / 2,056.57-3,085.02-823.31

Finding the Fourth Proportional to 2,056.57, 3,085.02 and 823.31

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Solution

The fourth proportional to 2,056.57, 3,085.02 and 823.31 is: 1,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.57 : 3,085.02 = 823.31 : x
  2. Step 2: Convert to fraction form
    2,056.57/3,085.02 = 823.31/x
  3. Step 3: Cross multiply
    2,056.57x = 3,085.02 × 823.31
  4. Step 4: Simplify right side
    2,056.57x = 2,539,912.39
  5. Step 5: Solve for x
    x = 2,539,912.39/2,056.57
  6. Step 6: Final answer
    x = 1,235.03

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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.