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Finding the Fourth Proportional to 11,472.80, 17,230.32 and 6,884

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Solution

The fourth proportional to 11,472.80, 17,230.32 and 6,884 is: 10,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.80 : 17,230.32 = 6,884 : x
  2. Step 2: Convert to fraction form
    11,472.80/17,230.32 = 6,884/x
  3. Step 3: Cross multiply
    11,472.80x = 17,230.32 × 6,884
  4. Step 4: Simplify right side
    11,472.80x = 118,613,522.88
  5. Step 5: Solve for x
    x = 118,613,522.88/11,472.80
  6. Step 6: Final answer
    x = 10,338.67

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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.