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Finding the Fourth Proportional to 20,646.70, 30,942.20 and 11,272.64

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Solution

The fourth proportional to 20,646.70, 30,942.20 and 11,272.64 is: 16,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.70 : 30,942.20 = 11,272.64 : x
  2. Step 2: Convert to fraction form
    20,646.70/30,942.20 = 11,272.64/x
  3. Step 3: Cross multiply
    20,646.70x = 30,942.20 × 11,272.64
  4. Step 4: Simplify right side
    20,646.70x = 348,800,154.88
  5. Step 5: Solve for x
    x = 348,800,154.88/20,646.70
  6. Step 6: Final answer
    x = 16,893.75

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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.