Home / 2,311.23-3,467.36-1,078

Finding the Fourth Proportional to 2,311.23, 3,467.36 and 1,078

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Solution

The fourth proportional to 2,311.23, 3,467.36 and 1,078 is: 1,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.23 : 3,467.36 = 1,078 : x
  2. Step 2: Convert to fraction form
    2,311.23/3,467.36 = 1,078/x
  3. Step 3: Cross multiply
    2,311.23x = 3,467.36 × 1,078
  4. Step 4: Simplify right side
    2,311.23x = 3,737,814.08
  5. Step 5: Solve for x
    x = 3,737,814.08/2,311.23
  6. Step 6: Final answer
    x = 1,617.24

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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.