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Finding the Fourth Proportional to 3,218.88, 4,442.87 and 1,822.44

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Solution

The fourth proportional to 3,218.88, 4,442.87 and 1,822.44 is: 2,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.88 : 4,442.87 = 1,822.44 : x
  2. Step 2: Convert to fraction form
    3,218.88/4,442.87 = 1,822.44/x
  3. Step 3: Cross multiply
    3,218.88x = 4,442.87 × 1,822.44
  4. Step 4: Simplify right side
    3,218.88x = 8,096,864.00
  5. Step 5: Solve for x
    x = 8,096,864.00/3,218.88
  6. Step 6: Final answer
    x = 2,515.43

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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.