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Finding the Fourth Proportional to 20,438.78, 30,632.52 and 8,738.24

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Solution

The fourth proportional to 20,438.78, 30,632.52 and 8,738.24 is: 13,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.78 : 30,632.52 = 8,738.24 : x
  2. Step 2: Convert to fraction form
    20,438.78/30,632.52 = 8,738.24/x
  3. Step 3: Cross multiply
    20,438.78x = 30,632.52 × 8,738.24
  4. Step 4: Simplify right side
    20,438.78x = 267,674,311.56
  5. Step 5: Solve for x
    x = 267,674,311.56/20,438.78
  6. Step 6: Final answer
    x = 13,096.39

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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.