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Finding the Fourth Proportional to 20,489.76, 30,754.08 and 9,408.96

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Solution

The fourth proportional to 20,489.76, 30,754.08 and 9,408.96 is: 14,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.76 : 30,754.08 = 9,408.96 : x
  2. Step 2: Convert to fraction form
    20,489.76/30,754.08 = 9,408.96/x
  3. Step 3: Cross multiply
    20,489.76x = 30,754.08 × 9,408.96
  4. Step 4: Simplify right side
    20,489.76x = 289,363,908.56
  5. Step 5: Solve for x
    x = 289,363,908.56/20,489.76
  6. Step 6: Final answer
    x = 14,122.37

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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.