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Finding the Fourth Proportional to 20,614.80, 30,897.90 and 8,128.38

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Solution

The fourth proportional to 20,614.80, 30,897.90 and 8,128.38 is: 12,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.80 : 30,897.90 = 8,128.38 : x
  2. Step 2: Convert to fraction form
    20,614.80/30,897.90 = 8,128.38/x
  3. Step 3: Cross multiply
    20,614.80x = 30,897.90 × 8,128.38
  4. Step 4: Simplify right side
    20,614.80x = 251,149,872.40
  5. Step 5: Solve for x
    x = 251,149,872.40/20,614.80
  6. Step 6: Final answer
    x = 12,182.99

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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.