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Finding the Fourth Proportional to 3,668.61, 5,503.49 and 1,328.37

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Solution

The fourth proportional to 3,668.61, 5,503.49 and 1,328.37 is: 1,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.61 : 5,503.49 = 1,328.37 : x
  2. Step 2: Convert to fraction form
    3,668.61/5,503.49 = 1,328.37/x
  3. Step 3: Cross multiply
    3,668.61x = 5,503.49 × 1,328.37
  4. Step 4: Simplify right side
    3,668.61x = 7,310,644.98
  5. Step 5: Solve for x
    x = 7,310,644.98/3,668.61
  6. Step 6: Final answer
    x = 1,992.76

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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.