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Finding the Fourth Proportional to 20,668.80, 31,003.20 and 18,919.20

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Solution

The fourth proportional to 20,668.80, 31,003.20 and 18,919.20 is: 28,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.80 : 31,003.20 = 18,919.20 : x
  2. Step 2: Convert to fraction form
    20,668.80/31,003.20 = 18,919.20/x
  3. Step 3: Cross multiply
    20,668.80x = 31,003.20 × 18,919.20
  4. Step 4: Simplify right side
    20,668.80x = 586,555,741.44
  5. Step 5: Solve for x
    x = 586,555,741.44/20,668.80
  6. Step 6: Final answer
    x = 28,378.80

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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.