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Finding the Fourth Proportional to 2,311, 3,464.62 and 1,336

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Solution

The fourth proportional to 2,311, 3,464.62 and 1,336 is: 2,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311 : 3,464.62 = 1,336 : x
  2. Step 2: Convert to fraction form
    2,311/3,464.62 = 1,336/x
  3. Step 3: Cross multiply
    2,311x = 3,464.62 × 1,336
  4. Step 4: Simplify right side
    2,311x = 4,628,732.32
  5. Step 5: Solve for x
    x = 4,628,732.32/2,311
  6. Step 6: Final answer
    x = 2,002.91

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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.