Home / 2,211.19-3,314.68-823.59

Finding the Fourth Proportional to 2,211.19, 3,314.68 and 823.59

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Solution

The fourth proportional to 2,211.19, 3,314.68 and 823.59 is: 1,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.19 : 3,314.68 = 823.59 : x
  2. Step 2: Convert to fraction form
    2,211.19/3,314.68 = 823.59/x
  3. Step 3: Cross multiply
    2,211.19x = 3,314.68 × 823.59
  4. Step 4: Simplify right side
    2,211.19x = 2,729,935.24
  5. Step 5: Solve for x
    x = 2,729,935.24/2,211.19
  6. Step 6: Final answer
    x = 1,234.60

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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.