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Finding the Fourth Proportional to 13,959.21, 20,939.84 and 5,194.13

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Solution

The fourth proportional to 13,959.21, 20,939.84 and 5,194.13 is: 7,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.21 : 20,939.84 = 5,194.13 : x
  2. Step 2: Convert to fraction form
    13,959.21/20,939.84 = 5,194.13/x
  3. Step 3: Cross multiply
    13,959.21x = 20,939.84 × 5,194.13
  4. Step 4: Simplify right side
    13,959.21x = 108,764,154.56
  5. Step 5: Solve for x
    x = 108,764,154.56/13,959.21
  6. Step 6: Final answer
    x = 7,791.57

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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.