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Finding the Fourth Proportional to 2,449.11, 3,674.19 and 805.82

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Solution

The fourth proportional to 2,449.11, 3,674.19 and 805.82 is: 1,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.11 : 3,674.19 = 805.82 : x
  2. Step 2: Convert to fraction form
    2,449.11/3,674.19 = 805.82/x
  3. Step 3: Cross multiply
    2,449.11x = 3,674.19 × 805.82
  4. Step 4: Simplify right side
    2,449.11x = 2,960,741.10
  5. Step 5: Solve for x
    x = 2,960,741.10/2,449.11
  6. Step 6: Final answer
    x = 1,208.91

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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.