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Finding the Fourth Proportional to 1,986.82, 2,742.80 and 1,241.19

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Solution

The fourth proportional to 1,986.82, 2,742.80 and 1,241.19 is: 1,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.82 : 2,742.80 = 1,241.19 : x
  2. Step 2: Convert to fraction form
    1,986.82/2,742.80 = 1,241.19/x
  3. Step 3: Cross multiply
    1,986.82x = 2,742.80 × 1,241.19
  4. Step 4: Simplify right side
    1,986.82x = 3,404,329.73
  5. Step 5: Solve for x
    x = 3,404,329.73/1,986.82
  6. Step 6: Final answer
    x = 1,713.46

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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.