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Finding the Fourth Proportional to 2,005, 3,007.86 and 964.36

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Solution

The fourth proportional to 2,005, 3,007.86 and 964.36 is: 1,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005 : 3,007.86 = 964.36 : x
  2. Step 2: Convert to fraction form
    2,005/3,007.86 = 964.36/x
  3. Step 3: Cross multiply
    2,005x = 3,007.86 × 964.36
  4. Step 4: Simplify right side
    2,005x = 2,900,659.87
  5. Step 5: Solve for x
    x = 2,900,659.87/2,005
  6. Step 6: Final answer
    x = 1,446.71

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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.