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Finding the Fourth Proportional to 14,791.27, 20,410.50 and 8,821.75

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Solution

The fourth proportional to 14,791.27, 20,410.50 and 8,821.75 is: 12,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.27 : 20,410.50 = 8,821.75 : x
  2. Step 2: Convert to fraction form
    14,791.27/20,410.50 = 8,821.75/x
  3. Step 3: Cross multiply
    14,791.27x = 20,410.50 × 8,821.75
  4. Step 4: Simplify right side
    14,791.27x = 180,056,328.38
  5. Step 5: Solve for x
    x = 180,056,328.38/14,791.27
  6. Step 6: Final answer
    x = 12,173.15

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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.