Home / 7,786.24-11,680-3,887.04

Finding the Fourth Proportional to 7,786.24, 11,680 and 3,887.04

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Solution

The fourth proportional to 7,786.24, 11,680 and 3,887.04 is: 5,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.24 : 11,680 = 3,887.04 : x
  2. Step 2: Convert to fraction form
    7,786.24/11,680 = 3,887.04/x
  3. Step 3: Cross multiply
    7,786.24x = 11,680 × 3,887.04
  4. Step 4: Simplify right side
    7,786.24x = 45,400,627.20
  5. Step 5: Solve for x
    x = 45,400,627.20/7,786.24
  6. Step 6: Final answer
    x = 5,830.88

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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.