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Finding the Fourth Proportional to 20,544.71, 30,821.67 and 6,505.57

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Solution

The fourth proportional to 20,544.71, 30,821.67 and 6,505.57 is: 9,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544.71 : 30,821.67 = 6,505.57 : x
  2. Step 2: Convert to fraction form
    20,544.71/30,821.67 = 6,505.57/x
  3. Step 3: Cross multiply
    20,544.71x = 30,821.67 × 6,505.57
  4. Step 4: Simplify right side
    20,544.71x = 200,512,531.70
  5. Step 5: Solve for x
    x = 200,512,531.70/20,544.71
  6. Step 6: Final answer
    x = 9,759.81

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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.