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Finding the Fourth Proportional to 8,413.23, 11,610.10 and 4,636.74

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Solution

The fourth proportional to 8,413.23, 11,610.10 and 4,636.74 is: 6,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.23 : 11,610.10 = 4,636.74 : x
  2. Step 2: Convert to fraction form
    8,413.23/11,610.10 = 4,636.74/x
  3. Step 3: Cross multiply
    8,413.23x = 11,610.10 × 4,636.74
  4. Step 4: Simplify right side
    8,413.23x = 53,833,015.07
  5. Step 5: Solve for x
    x = 53,833,015.07/8,413.23
  6. Step 6: Final answer
    x = 6,398.61

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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.