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Finding the Fourth Proportional to 13,728.89, 20,584.11 and 7,159.69

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Solution

The fourth proportional to 13,728.89, 20,584.11 and 7,159.69 is: 10,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.89 : 20,584.11 = 7,159.69 : x
  2. Step 2: Convert to fraction form
    13,728.89/20,584.11 = 7,159.69/x
  3. Step 3: Cross multiply
    13,728.89x = 20,584.11 × 7,159.69
  4. Step 4: Simplify right side
    13,728.89x = 147,375,889.04
  5. Step 5: Solve for x
    x = 147,375,889.04/13,728.89
  6. Step 6: Final answer
    x = 10,734.73

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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.