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Finding the Fourth Proportional to 2,480.22, 3,720.65 and 836.43

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Solution

The fourth proportional to 2,480.22, 3,720.65 and 836.43 is: 1,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.22 : 3,720.65 = 836.43 : x
  2. Step 2: Convert to fraction form
    2,480.22/3,720.65 = 836.43/x
  3. Step 3: Cross multiply
    2,480.22x = 3,720.65 × 836.43
  4. Step 4: Simplify right side
    2,480.22x = 3,112,059.10
  5. Step 5: Solve for x
    x = 3,112,059.10/2,480.22
  6. Step 6: Final answer
    x = 1,254.75

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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.