Home / 3,013.82-4,520.19-822.54

Finding the Fourth Proportional to 3,013.82, 4,520.19 and 822.54

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Solution

The fourth proportional to 3,013.82, 4,520.19 and 822.54 is: 1,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.82 : 4,520.19 = 822.54 : x
  2. Step 2: Convert to fraction form
    3,013.82/4,520.19 = 822.54/x
  3. Step 3: Cross multiply
    3,013.82x = 4,520.19 × 822.54
  4. Step 4: Simplify right side
    3,013.82x = 3,718,037.08
  5. Step 5: Solve for x
    x = 3,718,037.08/3,013.82
  6. Step 6: Final answer
    x = 1,233.66

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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.