Home / 1,286.16-1,775.37-867.70

Finding the Fourth Proportional to 1,286.16, 1,775.37 and 867.70

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Solution

The fourth proportional to 1,286.16, 1,775.37 and 867.70 is: 1,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.16 : 1,775.37 = 867.70 : x
  2. Step 2: Convert to fraction form
    1,286.16/1,775.37 = 867.70/x
  3. Step 3: Cross multiply
    1,286.16x = 1,775.37 × 867.70
  4. Step 4: Simplify right side
    1,286.16x = 1,540,488.55
  5. Step 5: Solve for x
    x = 1,540,488.55/1,286.16
  6. Step 6: Final answer
    x = 1,197.74

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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.