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Finding the Fourth Proportional to 3,669.69, 5,503.22 and 1,329.09

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Solution

The fourth proportional to 3,669.69, 5,503.22 and 1,329.09 is: 1,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.69 : 5,503.22 = 1,329.09 : x
  2. Step 2: Convert to fraction form
    3,669.69/5,503.22 = 1,329.09/x
  3. Step 3: Cross multiply
    3,669.69x = 5,503.22 × 1,329.09
  4. Step 4: Simplify right side
    3,669.69x = 7,314,268.02
  5. Step 5: Solve for x
    x = 7,314,268.02/3,669.69
  6. Step 6: Final answer
    x = 1,993.16

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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.