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Finding the Fourth Proportional to 14,620, 20,175.68 and 7,996

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Solution

The fourth proportional to 14,620, 20,175.68 and 7,996 is: 11,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,620 : 20,175.68 = 7,996 : x
  2. Step 2: Convert to fraction form
    14,620/20,175.68 = 7,996/x
  3. Step 3: Cross multiply
    14,620x = 20,175.68 × 7,996
  4. Step 4: Simplify right side
    14,620x = 161,324,737.28
  5. Step 5: Solve for x
    x = 161,324,737.28/14,620
  6. Step 6: Final answer
    x = 11,034.52

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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.