Home / 2,055.15-3,083.39-822.54

Finding the Fourth Proportional to 2,055.15, 3,083.39 and 822.54

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Solution

The fourth proportional to 2,055.15, 3,083.39 and 822.54 is: 1,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.15 : 3,083.39 = 822.54 : x
  2. Step 2: Convert to fraction form
    2,055.15/3,083.39 = 822.54/x
  3. Step 3: Cross multiply
    2,055.15x = 3,083.39 × 822.54
  4. Step 4: Simplify right side
    2,055.15x = 2,536,207.50
  5. Step 5: Solve for x
    x = 2,536,207.50/2,055.15
  6. Step 6: Final answer
    x = 1,234.07

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1.5x scale

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.