Home / 2,826-4,233.51-2,084.25

Finding the Fourth Proportional to 2,826, 4,233.51 and 2,084.25

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Solution

The fourth proportional to 2,826, 4,233.51 and 2,084.25 is: 3,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826 : 4,233.51 = 2,084.25 : x
  2. Step 2: Convert to fraction form
    2,826/4,233.51 = 2,084.25/x
  3. Step 3: Cross multiply
    2,826x = 4,233.51 × 2,084.25
  4. Step 4: Simplify right side
    2,826x = 8,823,693.22
  5. Step 5: Solve for x
    x = 8,823,693.22/2,826
  6. Step 6: Final answer
    x = 3,122.33

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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.