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Finding the Fourth Proportional to 20,429, 30,614.77 and 16,250.48

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Solution

The fourth proportional to 20,429, 30,614.77 and 16,250.48 is: 24,352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,429 : 30,614.77 = 16,250.48 : x
  2. Step 2: Convert to fraction form
    20,429/30,614.77 = 16,250.48/x
  3. Step 3: Cross multiply
    20,429x = 30,614.77 × 16,250.48
  4. Step 4: Simplify right side
    20,429x = 497,504,707.59
  5. Step 5: Solve for x
    x = 497,504,707.59/20,429
  6. Step 6: Final answer
    x = 24,352.87

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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.