Home / 2,311.33-3,464.70-923.80

Finding the Fourth Proportional to 2,311.33, 3,464.70 and 923.80

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Solution

The fourth proportional to 2,311.33, 3,464.70 and 923.80 is: 1,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.33 : 3,464.70 = 923.80 : x
  2. Step 2: Convert to fraction form
    2,311.33/3,464.70 = 923.80/x
  3. Step 3: Cross multiply
    2,311.33x = 3,464.70 × 923.80
  4. Step 4: Simplify right side
    2,311.33x = 3,200,689.86
  5. Step 5: Solve for x
    x = 3,200,689.86/2,311.33
  6. Step 6: Final answer
    x = 1,384.78

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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.