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Finding the Fourth Proportional to 20,266.78, 30,400.20 and 7,954.78

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Solution

The fourth proportional to 20,266.78, 30,400.20 and 7,954.78 is: 11,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,266.78 : 30,400.20 = 7,954.78 : x
  2. Step 2: Convert to fraction form
    20,266.78/30,400.20 = 7,954.78/x
  3. Step 3: Cross multiply
    20,266.78x = 30,400.20 × 7,954.78
  4. Step 4: Simplify right side
    20,266.78x = 241,826,902.96
  5. Step 5: Solve for x
    x = 241,826,902.96/20,266.78
  6. Step 6: Final answer
    x = 11,932.18

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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.