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Finding the Fourth Proportional to 20,524.56, 30,767.04 and 9,438.84

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Solution

The fourth proportional to 20,524.56, 30,767.04 and 9,438.84 is: 14,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.56 : 30,767.04 = 9,438.84 : x
  2. Step 2: Convert to fraction form
    20,524.56/30,767.04 = 9,438.84/x
  3. Step 3: Cross multiply
    20,524.56x = 30,767.04 × 9,438.84
  4. Step 4: Simplify right side
    20,524.56x = 290,405,167.83
  5. Step 5: Solve for x
    x = 290,405,167.83/20,524.56
  6. Step 6: Final answer
    x = 14,149.15

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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.