Home / 2,825.54-3,896.70-1,829.78

Finding the Fourth Proportional to 2,825.54, 3,896.70 and 1,829.78

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Solution

The fourth proportional to 2,825.54, 3,896.70 and 1,829.78 is: 2,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.54 : 3,896.70 = 1,829.78 : x
  2. Step 2: Convert to fraction form
    2,825.54/3,896.70 = 1,829.78/x
  3. Step 3: Cross multiply
    2,825.54x = 3,896.70 × 1,829.78
  4. Step 4: Simplify right side
    2,825.54x = 7,130,103.73
  5. Step 5: Solve for x
    x = 7,130,103.73/2,825.54
  6. Step 6: Final answer
    x = 2,523.45

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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.