Home / 2,823.41-3,896.51-1,644.38

Finding the Fourth Proportional to 2,823.41, 3,896.51 and 1,644.38

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Solution

The fourth proportional to 2,823.41, 3,896.51 and 1,644.38 is: 2,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.41 : 3,896.51 = 1,644.38 : x
  2. Step 2: Convert to fraction form
    2,823.41/3,896.51 = 1,644.38/x
  3. Step 3: Cross multiply
    2,823.41x = 3,896.51 × 1,644.38
  4. Step 4: Simplify right side
    2,823.41x = 6,407,315.41
  5. Step 5: Solve for x
    x = 6,407,315.41/2,823.41
  6. Step 6: Final answer
    x = 2,269.36

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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.