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Finding the Fourth Proportional to 2,674.35, 4,012.14 and 825.42

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Solution

The fourth proportional to 2,674.35, 4,012.14 and 825.42 is: 1,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.35 : 4,012.14 = 825.42 : x
  2. Step 2: Convert to fraction form
    2,674.35/4,012.14 = 825.42/x
  3. Step 3: Cross multiply
    2,674.35x = 4,012.14 × 825.42
  4. Step 4: Simplify right side
    2,674.35x = 3,311,700.60
  5. Step 5: Solve for x
    x = 3,311,700.60/2,674.35
  6. Step 6: Final answer
    x = 1,238.32

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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.