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Finding the Fourth Proportional to 3,918.00, 5,878.22 and 1,144.73

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Solution

The fourth proportional to 3,918.00, 5,878.22 and 1,144.73 is: 1,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.00 : 5,878.22 = 1,144.73 : x
  2. Step 2: Convert to fraction form
    3,918.00/5,878.22 = 1,144.73/x
  3. Step 3: Cross multiply
    3,918.00x = 5,878.22 × 1,144.73
  4. Step 4: Simplify right side
    3,918.00x = 6,728,990.19
  5. Step 5: Solve for x
    x = 6,728,990.19/3,918.00
  6. Step 6: Final answer
    x = 1,717.46

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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.