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Finding the Fourth Proportional to 20,658.50, 30,975.43 and 8,180.31

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Solution

The fourth proportional to 20,658.50, 30,975.43 and 8,180.31 is: 12,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.50 : 30,975.43 = 8,180.31 : x
  2. Step 2: Convert to fraction form
    20,658.50/30,975.43 = 8,180.31/x
  3. Step 3: Cross multiply
    20,658.50x = 30,975.43 × 8,180.31
  4. Step 4: Simplify right side
    20,658.50x = 253,388,619.78
  5. Step 5: Solve for x
    x = 253,388,619.78/20,658.50
  6. Step 6: Final answer
    x = 12,265.59

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1.5x scale

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.