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Finding the Fourth Proportional to 14,463, 19,958.94 and 7,839

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Solution

The fourth proportional to 14,463, 19,958.94 and 7,839 is: 10,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463 : 19,958.94 = 7,839 : x
  2. Step 2: Convert to fraction form
    14,463/19,958.94 = 7,839/x
  3. Step 3: Cross multiply
    14,463x = 19,958.94 × 7,839
  4. Step 4: Simplify right side
    14,463x = 156,458,130.66
  5. Step 5: Solve for x
    x = 156,458,130.66/14,463
  6. Step 6: Final answer
    x = 10,817.82

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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.