Home / 7,984.64-11,977-3,823.68

Finding the Fourth Proportional to 7,984.64, 11,977 and 3,823.68

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Solution

The fourth proportional to 7,984.64, 11,977 and 3,823.68 is: 5,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.64 : 11,977 = 3,823.68 : x
  2. Step 2: Convert to fraction form
    7,984.64/11,977 = 3,823.68/x
  3. Step 3: Cross multiply
    7,984.64x = 11,977 × 3,823.68
  4. Step 4: Simplify right side
    7,984.64x = 45,796,215.36
  5. Step 5: Solve for x
    x = 45,796,215.36/7,984.64
  6. Step 6: Final answer
    x = 5,735.54

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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.