Home / 2,564.12-3,847.64-1,083.24

Finding the Fourth Proportional to 2,564.12, 3,847.64 and 1,083.24

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Solution

The fourth proportional to 2,564.12, 3,847.64 and 1,083.24 is: 1,625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.12 : 3,847.64 = 1,083.24 : x
  2. Step 2: Convert to fraction form
    2,564.12/3,847.64 = 1,083.24/x
  3. Step 3: Cross multiply
    2,564.12x = 3,847.64 × 1,083.24
  4. Step 4: Simplify right side
    2,564.12x = 4,167,912.14
  5. Step 5: Solve for x
    x = 4,167,912.14/2,564.12
  6. Step 6: Final answer
    x = 1,625.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.