Home / 3,849.12-5,767.20-3,078

Finding the Fourth Proportional to 3,849.12, 5,767.20 and 3,078

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Solution

The fourth proportional to 3,849.12, 5,767.20 and 3,078 is: 4,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.12 : 5,767.20 = 3,078 : x
  2. Step 2: Convert to fraction form
    3,849.12/5,767.20 = 3,078/x
  3. Step 3: Cross multiply
    3,849.12x = 5,767.20 × 3,078
  4. Step 4: Simplify right side
    3,849.12x = 17,751,441.60
  5. Step 5: Solve for x
    x = 17,751,441.60/3,849.12
  6. Step 6: Final answer
    x = 4,611.82

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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.