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Finding the Fourth Proportional to 12,694.70, 17,518.21 and 7,029

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Solution

The fourth proportional to 12,694.70, 17,518.21 and 7,029 is: 9,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.70 : 17,518.21 = 7,029 : x
  2. Step 2: Convert to fraction form
    12,694.70/17,518.21 = 7,029/x
  3. Step 3: Cross multiply
    12,694.70x = 17,518.21 × 7,029
  4. Step 4: Simplify right side
    12,694.70x = 123,135,480.52
  5. Step 5: Solve for x
    x = 123,135,480.52/12,694.70
  6. Step 6: Final answer
    x = 9,699.75

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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.