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Finding the Fourth Proportional to 16,413.87, 22,653.78 and 9,342.57

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Solution

The fourth proportional to 16,413.87, 22,653.78 and 9,342.57 is: 12,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.87 : 22,653.78 = 9,342.57 : x
  2. Step 2: Convert to fraction form
    16,413.87/22,653.78 = 9,342.57/x
  3. Step 3: Cross multiply
    16,413.87x = 22,653.78 × 9,342.57
  4. Step 4: Simplify right side
    16,413.87x = 211,644,525.41
  5. Step 5: Solve for x
    x = 211,644,525.41/16,413.87
  6. Step 6: Final answer
    x = 12,894.25

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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.