Home / 7,778.36-11,659.32-3,824.12

Finding the Fourth Proportional to 7,778.36, 11,659.32 and 3,824.12

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Solution

The fourth proportional to 7,778.36, 11,659.32 and 3,824.12 is: 5,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.36 : 11,659.32 = 3,824.12 : x
  2. Step 2: Convert to fraction form
    7,778.36/11,659.32 = 3,824.12/x
  3. Step 3: Cross multiply
    7,778.36x = 11,659.32 × 3,824.12
  4. Step 4: Simplify right side
    7,778.36x = 44,586,638.80
  5. Step 5: Solve for x
    x = 44,586,638.80/7,778.36
  6. Step 6: Final answer
    x = 5,732.14

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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.