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Finding the Fourth Proportional to 7,628.70, 11,438.98 and 3,929.42

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Solution

The fourth proportional to 7,628.70, 11,438.98 and 3,929.42 is: 5,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.70 : 11,438.98 = 3,929.42 : x
  2. Step 2: Convert to fraction form
    7,628.70/11,438.98 = 3,929.42/x
  3. Step 3: Cross multiply
    7,628.70x = 11,438.98 × 3,929.42
  4. Step 4: Simplify right side
    7,628.70x = 44,948,556.79
  5. Step 5: Solve for x
    x = 44,948,556.79/7,628.70
  6. Step 6: Final answer
    x = 5,892.03

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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.