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Finding the Fourth Proportional to 20,266, 30,400.53 and 5,474.70

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Solution

The fourth proportional to 20,266, 30,400.53 and 5,474.70 is: 8,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,266 : 30,400.53 = 5,474.70 : x
  2. Step 2: Convert to fraction form
    20,266/30,400.53 = 5,474.70/x
  3. Step 3: Cross multiply
    20,266x = 30,400.53 × 5,474.70
  4. Step 4: Simplify right side
    20,266x = 166,433,781.59
  5. Step 5: Solve for x
    x = 166,433,781.59/20,266
  6. Step 6: Final answer
    x = 8,212.46

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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.