Home / 7,785.82-11,669-3,891.34

Finding the Fourth Proportional to 7,785.82, 11,669 and 3,891.34

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Solution

The fourth proportional to 7,785.82, 11,669 and 3,891.34 is: 5,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.82 : 11,669 = 3,891.34 : x
  2. Step 2: Convert to fraction form
    7,785.82/11,669 = 3,891.34/x
  3. Step 3: Cross multiply
    7,785.82x = 11,669 × 3,891.34
  4. Step 4: Simplify right side
    7,785.82x = 45,407,988.12
  5. Step 5: Solve for x
    x = 45,407,988.12/7,785.82
  6. Step 6: Final answer
    x = 5,832.14

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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.