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Finding the Fourth Proportional to 1,432.56, 1,974.84 and 1,183.44

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Solution

The fourth proportional to 1,432.56, 1,974.84 and 1,183.44 is: 1,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.56 : 1,974.84 = 1,183.44 : x
  2. Step 2: Convert to fraction form
    1,432.56/1,974.84 = 1,183.44/x
  3. Step 3: Cross multiply
    1,432.56x = 1,974.84 × 1,183.44
  4. Step 4: Simplify right side
    1,432.56x = 2,337,104.65
  5. Step 5: Solve for x
    x = 2,337,104.65/1,432.56
  6. Step 6: Final answer
    x = 1,631.42

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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.