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Finding the Fourth Proportional to 2,379.64, 3,283.26 and 1,447.48

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Solution

The fourth proportional to 2,379.64, 3,283.26 and 1,447.48 is: 1,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.64 : 3,283.26 = 1,447.48 : x
  2. Step 2: Convert to fraction form
    2,379.64/3,283.26 = 1,447.48/x
  3. Step 3: Cross multiply
    2,379.64x = 3,283.26 × 1,447.48
  4. Step 4: Simplify right side
    2,379.64x = 4,752,453.18
  5. Step 5: Solve for x
    x = 4,752,453.18/2,379.64
  6. Step 6: Final answer
    x = 1,997.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.