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Finding the Fourth Proportional to 20,580.82, 30,872.67 and 5,789.68

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Solution

The fourth proportional to 20,580.82, 30,872.67 and 5,789.68 is: 8,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.82 : 30,872.67 = 5,789.68 : x
  2. Step 2: Convert to fraction form
    20,580.82/30,872.67 = 5,789.68/x
  3. Step 3: Cross multiply
    20,580.82x = 30,872.67 × 5,789.68
  4. Step 4: Simplify right side
    20,580.82x = 178,742,880.05
  5. Step 5: Solve for x
    x = 178,742,880.05/20,580.82
  6. Step 6: Final answer
    x = 8,684.93

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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.