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Finding the Fourth Proportional to 12,659, 17,469.54 and 6,993.60

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Solution

The fourth proportional to 12,659, 17,469.54 and 6,993.60 is: 9,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659 : 17,469.54 = 6,993.60 : x
  2. Step 2: Convert to fraction form
    12,659/17,469.54 = 6,993.60/x
  3. Step 3: Cross multiply
    12,659x = 17,469.54 × 6,993.60
  4. Step 4: Simplify right side
    12,659x = 122,174,974.94
  5. Step 5: Solve for x
    x = 122,174,974.94/12,659
  6. Step 6: Final answer
    x = 9,651.23

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1.5x scale

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.