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Finding the Fourth Proportional to 13,693.87, 20,540.81 and 4,928.56

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Solution

The fourth proportional to 13,693.87, 20,540.81 and 4,928.56 is: 7,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.87 : 20,540.81 = 4,928.56 : x
  2. Step 2: Convert to fraction form
    13,693.87/20,540.81 = 4,928.56/x
  3. Step 3: Cross multiply
    13,693.87x = 20,540.81 × 4,928.56
  4. Step 4: Simplify right side
    13,693.87x = 101,236,614.53
  5. Step 5: Solve for x
    x = 101,236,614.53/13,693.87
  6. Step 6: Final answer
    x = 7,392.84

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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.