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Finding the Fourth Proportional to 11,446.89, 17,145.64 and 7,728.67

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Solution

The fourth proportional to 11,446.89, 17,145.64 and 7,728.67 is: 11,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.89 : 17,145.64 = 7,728.67 : x
  2. Step 2: Convert to fraction form
    11,446.89/17,145.64 = 7,728.67/x
  3. Step 3: Cross multiply
    11,446.89x = 17,145.64 × 7,728.67
  4. Step 4: Simplify right side
    11,446.89x = 132,512,993.50
  5. Step 5: Solve for x
    x = 132,512,993.50/11,446.89
  6. Step 6: Final answer
    x = 11,576.33

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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.