Home / 2,823.52-3,896.68-1,644.52

Finding the Fourth Proportional to 2,823.52, 3,896.68 and 1,644.52

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Solution

The fourth proportional to 2,823.52, 3,896.68 and 1,644.52 is: 2,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.52 : 3,896.68 = 1,644.52 : x
  2. Step 2: Convert to fraction form
    2,823.52/3,896.68 = 1,644.52/x
  3. Step 3: Cross multiply
    2,823.52x = 3,896.68 × 1,644.52
  4. Step 4: Simplify right side
    2,823.52x = 6,408,168.19
  5. Step 5: Solve for x
    x = 6,408,168.19/2,823.52
  6. Step 6: Final answer
    x = 2,269.57

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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.