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Finding the Fourth Proportional to 18,509.70, 27,768.60 and 7,413.60

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Solution

The fourth proportional to 18,509.70, 27,768.60 and 7,413.60 is: 11,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.70 : 27,768.60 = 7,413.60 : x
  2. Step 2: Convert to fraction form
    18,509.70/27,768.60 = 7,413.60/x
  3. Step 3: Cross multiply
    18,509.70x = 27,768.60 × 7,413.60
  4. Step 4: Simplify right side
    18,509.70x = 205,865,292.96
  5. Step 5: Solve for x
    x = 205,865,292.96/18,509.70
  6. Step 6: Final answer
    x = 11,122.02

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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.