Home / 7,977.78-11,964.24-3,815.60

Finding the Fourth Proportional to 7,977.78, 11,964.24 and 3,815.60

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Solution

The fourth proportional to 7,977.78, 11,964.24 and 3,815.60 is: 5,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.78 : 11,964.24 = 3,815.60 : x
  2. Step 2: Convert to fraction form
    7,977.78/11,964.24 = 3,815.60/x
  3. Step 3: Cross multiply
    7,977.78x = 11,964.24 × 3,815.60
  4. Step 4: Simplify right side
    7,977.78x = 45,650,694.32
  5. Step 5: Solve for x
    x = 45,650,694.32/7,977.78
  6. Step 6: Final answer
    x = 5,722.23

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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.