Home / 1,414.24-2,122.33-864.75

Finding the Fourth Proportional to 1,414.24, 2,122.33 and 864.75

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Solution

The fourth proportional to 1,414.24, 2,122.33 and 864.75 is: 1,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.24 : 2,122.33 = 864.75 : x
  2. Step 2: Convert to fraction form
    1,414.24/2,122.33 = 864.75/x
  3. Step 3: Cross multiply
    1,414.24x = 2,122.33 × 864.75
  4. Step 4: Simplify right side
    1,414.24x = 1,835,284.87
  5. Step 5: Solve for x
    x = 1,835,284.87/1,414.24
  6. Step 6: Final answer
    x = 1,297.72

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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.