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Finding the Fourth Proportional to 3,633, 5,449.50 and 1,324.50

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Solution

The fourth proportional to 3,633, 5,449.50 and 1,324.50 is: 1,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633 : 5,449.50 = 1,324.50 : x
  2. Step 2: Convert to fraction form
    3,633/5,449.50 = 1,324.50/x
  3. Step 3: Cross multiply
    3,633x = 5,449.50 × 1,324.50
  4. Step 4: Simplify right side
    3,633x = 7,217,862.75
  5. Step 5: Solve for x
    x = 7,217,862.75/3,633
  6. Step 6: Final answer
    x = 1,986.75

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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.