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Finding the Fourth Proportional to 13,676.02, 20,514.02 and 7,828.56

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Solution

The fourth proportional to 13,676.02, 20,514.02 and 7,828.56 is: 11,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.02 : 20,514.02 = 7,828.56 : x
  2. Step 2: Convert to fraction form
    13,676.02/20,514.02 = 7,828.56/x
  3. Step 3: Cross multiply
    13,676.02x = 20,514.02 × 7,828.56
  4. Step 4: Simplify right side
    13,676.02x = 160,595,236.41
  5. Step 5: Solve for x
    x = 160,595,236.41/13,676.02
  6. Step 6: Final answer
    x = 11,742.83

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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.