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Finding the Fourth Proportional to 7,953.05, 11,929.64 and 2,406.44

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Solution

The fourth proportional to 7,953.05, 11,929.64 and 2,406.44 is: 3,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.05 : 11,929.64 = 2,406.44 : x
  2. Step 2: Convert to fraction form
    7,953.05/11,929.64 = 2,406.44/x
  3. Step 3: Cross multiply
    7,953.05x = 11,929.64 × 2,406.44
  4. Step 4: Simplify right side
    7,953.05x = 28,707,891.20
  5. Step 5: Solve for x
    x = 28,707,891.20/7,953.05
  6. Step 6: Final answer
    x = 3,609.67

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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.