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Finding the Fourth Proportional to 2,054.77, 3,082.46 and 822.76

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Solution

The fourth proportional to 2,054.77, 3,082.46 and 822.76 is: 1,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.77 : 3,082.46 = 822.76 : x
  2. Step 2: Convert to fraction form
    2,054.77/3,082.46 = 822.76/x
  3. Step 3: Cross multiply
    2,054.77x = 3,082.46 × 822.76
  4. Step 4: Simplify right side
    2,054.77x = 2,536,112.97
  5. Step 5: Solve for x
    x = 2,536,112.97/2,054.77
  6. Step 6: Final answer
    x = 1,234.26

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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.