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Finding the Fourth Proportional to 3,453.60, 5,169.60 and 3,345.60

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Solution

The fourth proportional to 3,453.60, 5,169.60 and 3,345.60 is: 5,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.60 : 5,169.60 = 3,345.60 : x
  2. Step 2: Convert to fraction form
    3,453.60/5,169.60 = 3,345.60/x
  3. Step 3: Cross multiply
    3,453.60x = 5,169.60 × 3,345.60
  4. Step 4: Simplify right side
    3,453.60x = 17,295,413.76
  5. Step 5: Solve for x
    x = 17,295,413.76/3,453.60
  6. Step 6: Final answer
    x = 5,007.94

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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.