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Finding the Fourth Proportional to 12,505, 17,257.18 and 7,198.96

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Solution

The fourth proportional to 12,505, 17,257.18 and 7,198.96 is: 9,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505 : 17,257.18 = 7,198.96 : x
  2. Step 2: Convert to fraction form
    12,505/17,257.18 = 7,198.96/x
  3. Step 3: Cross multiply
    12,505x = 17,257.18 × 7,198.96
  4. Step 4: Simplify right side
    12,505x = 124,233,748.53
  5. Step 5: Solve for x
    x = 124,233,748.53/12,505
  6. Step 6: Final answer
    x = 9,934.73

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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.