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Finding the Fourth Proportional to 8,476.23, 11,696.85 and 4,647.78

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Solution

The fourth proportional to 8,476.23, 11,696.85 and 4,647.78 is: 6,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.23 : 11,696.85 = 4,647.78 : x
  2. Step 2: Convert to fraction form
    8,476.23/11,696.85 = 4,647.78/x
  3. Step 3: Cross multiply
    8,476.23x = 11,696.85 × 4,647.78
  4. Step 4: Simplify right side
    8,476.23x = 54,364,429.36
  5. Step 5: Solve for x
    x = 54,364,429.36/8,476.23
  6. Step 6: Final answer
    x = 6,413.75

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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.