Home / 3,014.68-4,521.41-823.23

Finding the Fourth Proportional to 3,014.68, 4,521.41 and 823.23

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Solution

The fourth proportional to 3,014.68, 4,521.41 and 823.23 is: 1,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.68 : 4,521.41 = 823.23 : x
  2. Step 2: Convert to fraction form
    3,014.68/4,521.41 = 823.23/x
  3. Step 3: Cross multiply
    3,014.68x = 4,521.41 × 823.23
  4. Step 4: Simplify right side
    3,014.68x = 3,722,137.75
  5. Step 5: Solve for x
    x = 3,722,137.75/3,014.68
  6. Step 6: Final answer
    x = 1,234.67

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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.