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Finding the Fourth Proportional to 7,663.80, 11,481.30 and 3,953.40

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Solution

The fourth proportional to 7,663.80, 11,481.30 and 3,953.40 is: 5,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.80 : 11,481.30 = 3,953.40 : x
  2. Step 2: Convert to fraction form
    7,663.80/11,481.30 = 3,953.40/x
  3. Step 3: Cross multiply
    7,663.80x = 11,481.30 × 3,953.40
  4. Step 4: Simplify right side
    7,663.80x = 45,390,171.42
  5. Step 5: Solve for x
    x = 45,390,171.42/7,663.80
  6. Step 6: Final answer
    x = 5,922.67

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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.