Home / 7,982.78-11,978.28-3,821.94

Finding the Fourth Proportional to 7,982.78, 11,978.28 and 3,821.94

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Solution

The fourth proportional to 7,982.78, 11,978.28 and 3,821.94 is: 5,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.78 : 11,978.28 = 3,821.94 : x
  2. Step 2: Convert to fraction form
    7,982.78/11,978.28 = 3,821.94/x
  3. Step 3: Cross multiply
    7,982.78x = 11,978.28 × 3,821.94
  4. Step 4: Simplify right side
    7,982.78x = 45,780,267.46
  5. Step 5: Solve for x
    x = 45,780,267.46/7,982.78
  6. Step 6: Final answer
    x = 5,734.88

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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.