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Finding the Fourth Proportional to 14,704.94, 20,287.05 and 8,413.94

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Solution

The fourth proportional to 14,704.94, 20,287.05 and 8,413.94 is: 11,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.94 : 20,287.05 = 8,413.94 : x
  2. Step 2: Convert to fraction form
    14,704.94/20,287.05 = 8,413.94/x
  3. Step 3: Cross multiply
    14,704.94x = 20,287.05 × 8,413.94
  4. Step 4: Simplify right side
    14,704.94x = 170,694,021.48
  5. Step 5: Solve for x
    x = 170,694,021.48/14,704.94
  6. Step 6: Final answer
    x = 11,607.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.