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Finding the Fourth Proportional to 20,678, 30,977.66 and 11,799.50

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Solution

The fourth proportional to 20,678, 30,977.66 and 11,799.50 is: 17,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678 : 30,977.66 = 11,799.50 : x
  2. Step 2: Convert to fraction form
    20,678/30,977.66 = 11,799.50/x
  3. Step 3: Cross multiply
    20,678x = 30,977.66 × 11,799.50
  4. Step 4: Simplify right side
    20,678x = 365,520,899.17
  5. Step 5: Solve for x
    x = 365,520,899.17/20,678
  6. Step 6: Final answer
    x = 17,676.80

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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.