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Finding the Fourth Proportional to 13,911.21, 19,198.71 and 7,944.81

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Solution

The fourth proportional to 13,911.21, 19,198.71 and 7,944.81 is: 10,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.21 : 19,198.71 = 7,944.81 : x
  2. Step 2: Convert to fraction form
    13,911.21/19,198.71 = 7,944.81/x
  3. Step 3: Cross multiply
    13,911.21x = 19,198.71 × 7,944.81
  4. Step 4: Simplify right side
    13,911.21x = 152,530,103.20
  5. Step 5: Solve for x
    x = 152,530,103.20/13,911.21
  6. Step 6: Final answer
    x = 10,964.55

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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.