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Finding the Fourth Proportional to 2,674.74, 4,012.08 and 825.84

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Solution

The fourth proportional to 2,674.74, 4,012.08 and 825.84 is: 1,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.74 : 4,012.08 = 825.84 : x
  2. Step 2: Convert to fraction form
    2,674.74/4,012.08 = 825.84/x
  3. Step 3: Cross multiply
    2,674.74x = 4,012.08 × 825.84
  4. Step 4: Simplify right side
    2,674.74x = 3,313,336.15
  5. Step 5: Solve for x
    x = 3,313,336.15/2,674.74
  6. Step 6: Final answer
    x = 1,238.75

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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.