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Finding the Fourth Proportional to 18,764.70, 28,138.74 and 5,614.56

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Solution

The fourth proportional to 18,764.70, 28,138.74 and 5,614.56 is: 8,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,764.70 : 28,138.74 = 5,614.56 : x
  2. Step 2: Convert to fraction form
    18,764.70/28,138.74 = 5,614.56/x
  3. Step 3: Cross multiply
    18,764.70x = 28,138.74 × 5,614.56
  4. Step 4: Simplify right side
    18,764.70x = 157,986,644.05
  5. Step 5: Solve for x
    x = 157,986,644.05/18,764.70
  6. Step 6: Final answer
    x = 8,419.35

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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.