Home / 3,414.34-5,120.67-948.58

Finding the Fourth Proportional to 3,414.34, 5,120.67 and 948.58

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Solution

The fourth proportional to 3,414.34, 5,120.67 and 948.58 is: 1,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.34 : 5,120.67 = 948.58 : x
  2. Step 2: Convert to fraction form
    3,414.34/5,120.67 = 948.58/x
  3. Step 3: Cross multiply
    3,414.34x = 5,120.67 × 948.58
  4. Step 4: Simplify right side
    3,414.34x = 4,857,365.15
  5. Step 5: Solve for x
    x = 4,857,365.15/3,414.34
  6. Step 6: Final answer
    x = 1,422.64

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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.