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Finding the Fourth Proportional to 2,978, 4,467.06 and 1,246.64

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Solution

The fourth proportional to 2,978, 4,467.06 and 1,246.64 is: 1,869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 4,467.06 = 1,246.64 : x
  2. Step 2: Convert to fraction form
    2,978/4,467.06 = 1,246.64/x
  3. Step 3: Cross multiply
    2,978x = 4,467.06 × 1,246.64
  4. Step 4: Simplify right side
    2,978x = 5,568,815.68
  5. Step 5: Solve for x
    x = 5,568,815.68/2,978
  6. Step 6: Final answer
    x = 1,869.99

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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.