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Finding the Fourth Proportional to 20,486, 30,729.72 and 11,716.88

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Solution

The fourth proportional to 20,486, 30,729.72 and 11,716.88 is: 17,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486 : 30,729.72 = 11,716.88 : x
  2. Step 2: Convert to fraction form
    20,486/30,729.72 = 11,716.88/x
  3. Step 3: Cross multiply
    20,486x = 30,729.72 × 11,716.88
  4. Step 4: Simplify right side
    20,486x = 360,056,441.67
  5. Step 5: Solve for x
    x = 360,056,441.67/20,486
  6. Step 6: Final answer
    x = 17,575.73

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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.