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Finding the Fourth Proportional to 2,480.82, 3,720.12 and 836.94

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Solution

The fourth proportional to 2,480.82, 3,720.12 and 836.94 is: 1,255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.82 : 3,720.12 = 836.94 : x
  2. Step 2: Convert to fraction form
    2,480.82/3,720.12 = 836.94/x
  3. Step 3: Cross multiply
    2,480.82x = 3,720.12 × 836.94
  4. Step 4: Simplify right side
    2,480.82x = 3,113,517.23
  5. Step 5: Solve for x
    x = 3,113,517.23/2,480.82
  6. Step 6: Final answer
    x = 1,255.04

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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.