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Finding the Fourth Proportional to 3,083.16, 4,626.12 and 1,678

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Solution

The fourth proportional to 3,083.16, 4,626.12 and 1,678 is: 2,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.16 : 4,626.12 = 1,678 : x
  2. Step 2: Convert to fraction form
    3,083.16/4,626.12 = 1,678/x
  3. Step 3: Cross multiply
    3,083.16x = 4,626.12 × 1,678
  4. Step 4: Simplify right side
    3,083.16x = 7,762,629.36
  5. Step 5: Solve for x
    x = 7,762,629.36/3,083.16
  6. Step 6: Final answer
    x = 2,517.75

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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.