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Finding the Fourth Proportional to 13,791.50, 20,694.08 and 5,471.31

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Solution

The fourth proportional to 13,791.50, 20,694.08 and 5,471.31 is: 8,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.50 : 20,694.08 = 5,471.31 : x
  2. Step 2: Convert to fraction form
    13,791.50/20,694.08 = 5,471.31/x
  3. Step 3: Cross multiply
    13,791.50x = 20,694.08 × 5,471.31
  4. Step 4: Simplify right side
    13,791.50x = 113,223,726.84
  5. Step 5: Solve for x
    x = 113,223,726.84/13,791.50
  6. Step 6: Final answer
    x = 8,209.67

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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.