Home / 2,056.19-3,084.82-823.64

Finding the Fourth Proportional to 2,056.19, 3,084.82 and 823.64

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Solution

The fourth proportional to 2,056.19, 3,084.82 and 823.64 is: 1,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.19 : 3,084.82 = 823.64 : x
  2. Step 2: Convert to fraction form
    2,056.19/3,084.82 = 823.64/x
  3. Step 3: Cross multiply
    2,056.19x = 3,084.82 × 823.64
  4. Step 4: Simplify right side
    2,056.19x = 2,540,763.66
  5. Step 5: Solve for x
    x = 2,540,763.66/2,056.19
  6. Step 6: Final answer
    x = 1,235.67

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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.