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Finding the Fourth Proportional to 14,644.15, 20,208.49 and 8,271

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Solution

The fourth proportional to 14,644.15, 20,208.49 and 8,271 is: 11,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.15 : 20,208.49 = 8,271 : x
  2. Step 2: Convert to fraction form
    14,644.15/20,208.49 = 8,271/x
  3. Step 3: Cross multiply
    14,644.15x = 20,208.49 × 8,271
  4. Step 4: Simplify right side
    14,644.15x = 167,144,420.79
  5. Step 5: Solve for x
    x = 167,144,420.79/14,644.15
  6. Step 6: Final answer
    x = 11,413.73

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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.