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Finding the Fourth Proportional to 12,481.29, 17,223.88 and 6,815.82

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Solution

The fourth proportional to 12,481.29, 17,223.88 and 6,815.82 is: 9,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,481.29 : 17,223.88 = 6,815.82 : x
  2. Step 2: Convert to fraction form
    12,481.29/17,223.88 = 6,815.82/x
  3. Step 3: Cross multiply
    12,481.29x = 17,223.88 × 6,815.82
  4. Step 4: Simplify right side
    12,481.29x = 117,394,865.78
  5. Step 5: Solve for x
    x = 117,394,865.78/12,481.29
  6. Step 6: Final answer
    x = 9,405.67

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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.