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Finding the Fourth Proportional to 3,219.56, 4,443.14 and 1,822.31

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Solution

The fourth proportional to 3,219.56, 4,443.14 and 1,822.31 is: 2,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.56 : 4,443.14 = 1,822.31 : x
  2. Step 2: Convert to fraction form
    3,219.56/4,443.14 = 1,822.31/x
  3. Step 3: Cross multiply
    3,219.56x = 4,443.14 × 1,822.31
  4. Step 4: Simplify right side
    3,219.56x = 8,096,780.45
  5. Step 5: Solve for x
    x = 8,096,780.45/3,219.56
  6. Step 6: Final answer
    x = 2,514.87

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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.