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Finding the Fourth Proportional to 3,989, 5,504.82 and 2,333

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Solution

The fourth proportional to 3,989, 5,504.82 and 2,333 is: 3,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989 : 5,504.82 = 2,333 : x
  2. Step 2: Convert to fraction form
    3,989/5,504.82 = 2,333/x
  3. Step 3: Cross multiply
    3,989x = 5,504.82 × 2,333
  4. Step 4: Simplify right side
    3,989x = 12,842,745.06
  5. Step 5: Solve for x
    x = 12,842,745.06/3,989
  6. Step 6: Final answer
    x = 3,219.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.