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Finding the Fourth Proportional to 25,413.81, 38,103.69 and 9,813.21

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Solution

The fourth proportional to 25,413.81, 38,103.69 and 9,813.21 is: 14,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,413.81 : 38,103.69 = 9,813.21 : x
  2. Step 2: Convert to fraction form
    25,413.81/38,103.69 = 9,813.21/x
  3. Step 3: Cross multiply
    25,413.81x = 38,103.69 × 9,813.21
  4. Step 4: Simplify right side
    25,413.81x = 373,919,511.74
  5. Step 5: Solve for x
    x = 373,919,511.74/25,413.81
  6. Step 6: Final answer
    x = 14,713.24

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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.