Home / 1,116.19-1,540.53-850.21

Finding the Fourth Proportional to 1,116.19, 1,540.53 and 850.21

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Solution

The fourth proportional to 1,116.19, 1,540.53 and 850.21 is: 1,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.19 : 1,540.53 = 850.21 : x
  2. Step 2: Convert to fraction form
    1,116.19/1,540.53 = 850.21/x
  3. Step 3: Cross multiply
    1,116.19x = 1,540.53 × 850.21
  4. Step 4: Simplify right side
    1,116.19x = 1,309,766.97
  5. Step 5: Solve for x
    x = 1,309,766.97/1,116.19
  6. Step 6: Final answer
    x = 1,173.43

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.