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Finding the Fourth Proportional to 25,976.35, 38,966.57 and 8,208.38

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Solution

The fourth proportional to 25,976.35, 38,966.57 and 8,208.38 is: 12,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,976.35 : 38,966.57 = 8,208.38 : x
  2. Step 2: Convert to fraction form
    25,976.35/38,966.57 = 8,208.38/x
  3. Step 3: Cross multiply
    25,976.35x = 38,966.57 × 8,208.38
  4. Step 4: Simplify right side
    25,976.35x = 319,852,413.86
  5. Step 5: Solve for x
    x = 319,852,413.86/25,976.35
  6. Step 6: Final answer
    x = 12,313.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.