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Finding the Fourth Proportional to 14,515.96, 20,035 and 8,229.56

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Solution

The fourth proportional to 14,515.96, 20,035 and 8,229.56 is: 11,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.96 : 20,035 = 8,229.56 : x
  2. Step 2: Convert to fraction form
    14,515.96/20,035 = 8,229.56/x
  3. Step 3: Cross multiply
    14,515.96x = 20,035 × 8,229.56
  4. Step 4: Simplify right side
    14,515.96x = 164,879,234.60
  5. Step 5: Solve for x
    x = 164,879,234.60/14,515.96
  6. Step 6: Final answer
    x = 11,358.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.