Home / 3,102.92-4,651.12-1,458.12

Finding the Fourth Proportional to 3,102.92, 4,651.12 and 1,458.12

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Solution

The fourth proportional to 3,102.92, 4,651.12 and 1,458.12 is: 2,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.92 : 4,651.12 = 1,458.12 : x
  2. Step 2: Convert to fraction form
    3,102.92/4,651.12 = 1,458.12/x
  3. Step 3: Cross multiply
    3,102.92x = 4,651.12 × 1,458.12
  4. Step 4: Simplify right side
    3,102.92x = 6,781,891.09
  5. Step 5: Solve for x
    x = 6,781,891.09/3,102.92
  6. Step 6: Final answer
    x = 2,185.65

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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.