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Finding the Fourth Proportional to 20,513.20, 30,769.80 and 13,514.80

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Solution

The fourth proportional to 20,513.20, 30,769.80 and 13,514.80 is: 20,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.20 : 30,769.80 = 13,514.80 : x
  2. Step 2: Convert to fraction form
    20,513.20/30,769.80 = 13,514.80/x
  3. Step 3: Cross multiply
    20,513.20x = 30,769.80 × 13,514.80
  4. Step 4: Simplify right side
    20,513.20x = 415,847,693.04
  5. Step 5: Solve for x
    x = 415,847,693.04/20,513.20
  6. Step 6: Final answer
    x = 20,272.20

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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.