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Finding the Fourth Proportional to 20,383.67, 30,572.23 and 5,589.16

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Solution

The fourth proportional to 20,383.67, 30,572.23 and 5,589.16 is: 8,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,383.67 : 30,572.23 = 5,589.16 : x
  2. Step 2: Convert to fraction form
    20,383.67/30,572.23 = 5,589.16/x
  3. Step 3: Cross multiply
    20,383.67x = 30,572.23 × 5,589.16
  4. Step 4: Simplify right side
    20,383.67x = 170,872,904.22
  5. Step 5: Solve for x
    x = 170,872,904.22/20,383.67
  6. Step 6: Final answer
    x = 8,382.83

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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.