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Finding the Fourth Proportional to 13,413.26, 18,506.02 and 7,747.26

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Solution

The fourth proportional to 13,413.26, 18,506.02 and 7,747.26 is: 10,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.26 : 18,506.02 = 7,747.26 : x
  2. Step 2: Convert to fraction form
    13,413.26/18,506.02 = 7,747.26/x
  3. Step 3: Cross multiply
    13,413.26x = 18,506.02 × 7,747.26
  4. Step 4: Simplify right side
    13,413.26x = 143,370,948.51
  5. Step 5: Solve for x
    x = 143,370,948.51/13,413.26
  6. Step 6: Final answer
    x = 10,688.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.