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Finding the Fourth Proportional to 2,850.82, 3,934.47 and 1,732.18

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Solution

The fourth proportional to 2,850.82, 3,934.47 and 1,732.18 is: 2,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.82 : 3,934.47 = 1,732.18 : x
  2. Step 2: Convert to fraction form
    2,850.82/3,934.47 = 1,732.18/x
  3. Step 3: Cross multiply
    2,850.82x = 3,934.47 × 1,732.18
  4. Step 4: Simplify right side
    2,850.82x = 6,815,210.24
  5. Step 5: Solve for x
    x = 6,815,210.24/2,850.82
  6. Step 6: Final answer
    x = 2,390.61

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1.5x scale

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.