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Finding the Fourth Proportional to 2,455.67, 3,683.99 and 812.32

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Solution

The fourth proportional to 2,455.67, 3,683.99 and 812.32 is: 1,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.67 : 3,683.99 = 812.32 : x
  2. Step 2: Convert to fraction form
    2,455.67/3,683.99 = 812.32/x
  3. Step 3: Cross multiply
    2,455.67x = 3,683.99 × 812.32
  4. Step 4: Simplify right side
    2,455.67x = 2,992,571.58
  5. Step 5: Solve for x
    x = 2,992,571.58/2,455.67
  6. Step 6: Final answer
    x = 1,218.64

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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.