Home / 1,189.23-1,778.37-861.18

Finding the Fourth Proportional to 1,189.23, 1,778.37 and 861.18

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Solution

The fourth proportional to 1,189.23, 1,778.37 and 861.18 is: 1,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.23 : 1,778.37 = 861.18 : x
  2. Step 2: Convert to fraction form
    1,189.23/1,778.37 = 861.18/x
  3. Step 3: Cross multiply
    1,189.23x = 1,778.37 × 861.18
  4. Step 4: Simplify right side
    1,189.23x = 1,531,496.68
  5. Step 5: Solve for x
    x = 1,531,496.68/1,189.23
  6. Step 6: Final answer
    x = 1,287.81

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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.