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Finding the Fourth Proportional to 12,958.98, 17,892 and 9,969.54

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Solution

The fourth proportional to 12,958.98, 17,892 and 9,969.54 is: 13,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,958.98 : 17,892 = 9,969.54 : x
  2. Step 2: Convert to fraction form
    12,958.98/17,892 = 9,969.54/x
  3. Step 3: Cross multiply
    12,958.98x = 17,892 × 9,969.54
  4. Step 4: Simplify right side
    12,958.98x = 178,375,009.68
  5. Step 5: Solve for x
    x = 178,375,009.68/12,958.98
  6. Step 6: Final answer
    x = 13,764.59

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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.