Home / 2,823.23-3,896.90-1,828.49

Finding the Fourth Proportional to 2,823.23, 3,896.90 and 1,828.49

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Solution

The fourth proportional to 2,823.23, 3,896.90 and 1,828.49 is: 2,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.23 : 3,896.90 = 1,828.49 : x
  2. Step 2: Convert to fraction form
    2,823.23/3,896.90 = 1,828.49/x
  3. Step 3: Cross multiply
    2,823.23x = 3,896.90 × 1,828.49
  4. Step 4: Simplify right side
    2,823.23x = 7,125,414.05
  5. Step 5: Solve for x
    x = 7,125,414.05/2,823.23
  6. Step 6: Final answer
    x = 2,523.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.