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Finding the Fourth Proportional to 11,413.30, 15,747.47 and 6,696.67

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Solution

The fourth proportional to 11,413.30, 15,747.47 and 6,696.67 is: 9,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.30 : 15,747.47 = 6,696.67 : x
  2. Step 2: Convert to fraction form
    11,413.30/15,747.47 = 6,696.67/x
  3. Step 3: Cross multiply
    11,413.30x = 15,747.47 × 6,696.67
  4. Step 4: Simplify right side
    11,413.30x = 105,455,609.92
  5. Step 5: Solve for x
    x = 105,455,609.92/11,413.30
  6. Step 6: Final answer
    x = 9,239.71

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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.