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Finding the Fourth Proportional to 20,571.71, 30,854.42 and 6,529.91

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Solution

The fourth proportional to 20,571.71, 30,854.42 and 6,529.91 is: 9,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.71 : 30,854.42 = 6,529.91 : x
  2. Step 2: Convert to fraction form
    20,571.71/30,854.42 = 6,529.91/x
  3. Step 3: Cross multiply
    20,571.71x = 30,854.42 × 6,529.91
  4. Step 4: Simplify right side
    20,571.71x = 201,476,510.05
  5. Step 5: Solve for x
    x = 201,476,510.05/20,571.71
  6. Step 6: Final answer
    x = 9,793.86

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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.