Home / 2,823.18-3,896.10-1,644.54

Finding the Fourth Proportional to 2,823.18, 3,896.10 and 1,644.54

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Solution

The fourth proportional to 2,823.18, 3,896.10 and 1,644.54 is: 2,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.18 : 3,896.10 = 1,644.54 : x
  2. Step 2: Convert to fraction form
    2,823.18/3,896.10 = 1,644.54/x
  3. Step 3: Cross multiply
    2,823.18x = 3,896.10 × 1,644.54
  4. Step 4: Simplify right side
    2,823.18x = 6,407,292.29
  5. Step 5: Solve for x
    x = 6,407,292.29/2,823.18
  6. Step 6: Final answer
    x = 2,269.53

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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.