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Finding the Fourth Proportional to 12,012.36, 17,993.42 and 9,659.64

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Solution

The fourth proportional to 12,012.36, 17,993.42 and 9,659.64 is: 14,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.36 : 17,993.42 = 9,659.64 : x
  2. Step 2: Convert to fraction form
    12,012.36/17,993.42 = 9,659.64/x
  3. Step 3: Cross multiply
    12,012.36x = 17,993.42 × 9,659.64
  4. Step 4: Simplify right side
    12,012.36x = 173,809,959.57
  5. Step 5: Solve for x
    x = 173,809,959.57/12,012.36
  6. Step 6: Final answer
    x = 14,469.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.