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Finding the Fourth Proportional to 13,067.12, 18,036.42 and 7,964.48

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Solution

The fourth proportional to 13,067.12, 18,036.42 and 7,964.48 is: 10,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067.12 : 18,036.42 = 7,964.48 : x
  2. Step 2: Convert to fraction form
    13,067.12/18,036.42 = 7,964.48/x
  3. Step 3: Cross multiply
    13,067.12x = 18,036.42 × 7,964.48
  4. Step 4: Simplify right side
    13,067.12x = 143,650,706.36
  5. Step 5: Solve for x
    x = 143,650,706.36/13,067.12
  6. Step 6: Final answer
    x = 10,993.30

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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.