Home / 7,983-11,974.70-2,788.88

Finding the Fourth Proportional to 7,983, 11,974.70 and 2,788.88

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Solution

The fourth proportional to 7,983, 11,974.70 and 2,788.88 is: 4,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983 : 11,974.70 = 2,788.88 : x
  2. Step 2: Convert to fraction form
    7,983/11,974.70 = 2,788.88/x
  3. Step 3: Cross multiply
    7,983x = 11,974.70 × 2,788.88
  4. Step 4: Simplify right side
    7,983x = 33,395,948.43
  5. Step 5: Solve for x
    x = 33,395,948.43/7,983
  6. Step 6: Final answer
    x = 4,183.38

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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.