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Finding the Fourth Proportional to 20,257.56, 30,375 and 7,104.78

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Solution

The fourth proportional to 20,257.56, 30,375 and 7,104.78 is: 10,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.56 : 30,375 = 7,104.78 : x
  2. Step 2: Convert to fraction form
    20,257.56/30,375 = 7,104.78/x
  3. Step 3: Cross multiply
    20,257.56x = 30,375 × 7,104.78
  4. Step 4: Simplify right side
    20,257.56x = 215,807,692.50
  5. Step 5: Solve for x
    x = 215,807,692.50/20,257.56
  6. Step 6: Final answer
    x = 10,653.19

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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.