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Finding the Fourth Proportional to 20,425.14, 30,636.86 and 5,633.66

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Solution

The fourth proportional to 20,425.14, 30,636.86 and 5,633.66 is: 8,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,425.14 : 30,636.86 = 5,633.66 : x
  2. Step 2: Convert to fraction form
    20,425.14/30,636.86 = 5,633.66/x
  3. Step 3: Cross multiply
    20,425.14x = 30,636.86 × 5,633.66
  4. Step 4: Simplify right side
    20,425.14x = 172,597,701.13
  5. Step 5: Solve for x
    x = 172,597,701.13/20,425.14
  6. Step 6: Final answer
    x = 8,450.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.