Home / 2,055.09-3,081.92-822.18

Finding the Fourth Proportional to 2,055.09, 3,081.92 and 822.18

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Solution

The fourth proportional to 2,055.09, 3,081.92 and 822.18 is: 1,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.09 : 3,081.92 = 822.18 : x
  2. Step 2: Convert to fraction form
    2,055.09/3,081.92 = 822.18/x
  3. Step 3: Cross multiply
    2,055.09x = 3,081.92 × 822.18
  4. Step 4: Simplify right side
    2,055.09x = 2,533,892.99
  5. Step 5: Solve for x
    x = 2,533,892.99/2,055.09
  6. Step 6: Final answer
    x = 1,232.98

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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.