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Finding the Fourth Proportional to 18,942.40, 28,413.60 and 8,409.95

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Solution

The fourth proportional to 18,942.40, 28,413.60 and 8,409.95 is: 12,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,942.40 : 28,413.60 = 8,409.95 : x
  2. Step 2: Convert to fraction form
    18,942.40/28,413.60 = 8,409.95/x
  3. Step 3: Cross multiply
    18,942.40x = 28,413.60 × 8,409.95
  4. Step 4: Simplify right side
    18,942.40x = 238,956,826.81
  5. Step 5: Solve for x
    x = 238,956,826.81/18,942.40
  6. Step 6: Final answer
    x = 12,614.92

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Why These Related Problems?

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