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Finding the Fourth Proportional to 3,636.52, 5,455.60 and 1,328

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Solution

The fourth proportional to 3,636.52, 5,455.60 and 1,328 is: 1,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.52 : 5,455.60 = 1,328 : x
  2. Step 2: Convert to fraction form
    3,636.52/5,455.60 = 1,328/x
  3. Step 3: Cross multiply
    3,636.52x = 5,455.60 × 1,328
  4. Step 4: Simplify right side
    3,636.52x = 7,245,036.80
  5. Step 5: Solve for x
    x = 7,245,036.80/3,636.52
  6. Step 6: Final answer
    x = 1,992.30

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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.