Home / 1,785.21-2,467.85-1,414.77

Finding the Fourth Proportional to 1,785.21, 2,467.85 and 1,414.77

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Solution

The fourth proportional to 1,785.21, 2,467.85 and 1,414.77 is: 1,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.21 : 2,467.85 = 1,414.77 : x
  2. Step 2: Convert to fraction form
    1,785.21/2,467.85 = 1,414.77/x
  3. Step 3: Cross multiply
    1,785.21x = 2,467.85 × 1,414.77
  4. Step 4: Simplify right side
    1,785.21x = 3,491,433.07
  5. Step 5: Solve for x
    x = 3,491,433.07/1,785.21
  6. Step 6: Final answer
    x = 1,955.75

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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.