Home / 1,190.11-1,783.09-825.14

Finding the Fourth Proportional to 1,190.11, 1,783.09 and 825.14

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Solution

The fourth proportional to 1,190.11, 1,783.09 and 825.14 is: 1,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.11 : 1,783.09 = 825.14 : x
  2. Step 2: Convert to fraction form
    1,190.11/1,783.09 = 825.14/x
  3. Step 3: Cross multiply
    1,190.11x = 1,783.09 × 825.14
  4. Step 4: Simplify right side
    1,190.11x = 1,471,298.88
  5. Step 5: Solve for x
    x = 1,471,298.88/1,190.11
  6. Step 6: Final answer
    x = 1,236.27

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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.