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Finding the Fourth Proportional to 2,562.13, 3,842.21 and 806.76

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Solution

The fourth proportional to 2,562.13, 3,842.21 and 806.76 is: 1,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.13 : 3,842.21 = 806.76 : x
  2. Step 2: Convert to fraction form
    2,562.13/3,842.21 = 806.76/x
  3. Step 3: Cross multiply
    2,562.13x = 3,842.21 × 806.76
  4. Step 4: Simplify right side
    2,562.13x = 3,099,741.09
  5. Step 5: Solve for x
    x = 3,099,741.09/2,562.13
  6. Step 6: Final answer
    x = 1,209.83

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1.5x scale

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.