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Finding the Fourth Proportional to 20,489.53, 30,748.89 and 15,814.21

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Solution

The fourth proportional to 20,489.53, 30,748.89 and 15,814.21 is: 23,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.53 : 30,748.89 = 15,814.21 : x
  2. Step 2: Convert to fraction form
    20,489.53/30,748.89 = 15,814.21/x
  3. Step 3: Cross multiply
    20,489.53x = 30,748.89 × 15,814.21
  4. Step 4: Simplify right side
    20,489.53x = 486,269,403.73
  5. Step 5: Solve for x
    x = 486,269,403.73/20,489.53
  6. Step 6: Final answer
    x = 23,732.58

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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.