Home / 7,784.85-11,678-3,103.73

Finding the Fourth Proportional to 7,784.85, 11,678 and 3,103.73

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Solution

The fourth proportional to 7,784.85, 11,678 and 3,103.73 is: 4,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.85 : 11,678 = 3,103.73 : x
  2. Step 2: Convert to fraction form
    7,784.85/11,678 = 3,103.73/x
  3. Step 3: Cross multiply
    7,784.85x = 11,678 × 3,103.73
  4. Step 4: Simplify right side
    7,784.85x = 36,245,358.94
  5. Step 5: Solve for x
    x = 36,245,358.94/7,784.85
  6. Step 6: Final answer
    x = 4,655.88

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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.