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Finding the Fourth Proportional to 18,945.64, 28,418.48 and 8,413.19

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Solution

The fourth proportional to 18,945.64, 28,418.48 and 8,413.19 is: 12,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,945.64 : 28,418.48 = 8,413.19 : x
  2. Step 2: Convert to fraction form
    18,945.64/28,418.48 = 8,413.19/x
  3. Step 3: Cross multiply
    18,945.64x = 28,418.48 × 8,413.19
  4. Step 4: Simplify right side
    18,945.64x = 239,090,071.75
  5. Step 5: Solve for x
    x = 239,090,071.75/18,945.64
  6. Step 6: Final answer
    x = 12,619.79

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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.