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Finding the Fourth Proportional to 3,687.69, 5,530.10 and 1,634.25

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Solution

The fourth proportional to 3,687.69, 5,530.10 and 1,634.25 is: 2,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.69 : 5,530.10 = 1,634.25 : x
  2. Step 2: Convert to fraction form
    3,687.69/5,530.10 = 1,634.25/x
  3. Step 3: Cross multiply
    3,687.69x = 5,530.10 × 1,634.25
  4. Step 4: Simplify right side
    3,687.69x = 9,037,557.75
  5. Step 5: Solve for x
    x = 9,037,557.75/3,687.69
  6. Step 6: Final answer
    x = 2,450.74

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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.