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Finding the Fourth Proportional to 1,986.40, 2,742.44 and 1,241

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Solution

The fourth proportional to 1,986.40, 2,742.44 and 1,241 is: 1,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.40 : 2,742.44 = 1,241 : x
  2. Step 2: Convert to fraction form
    1,986.40/2,742.44 = 1,241/x
  3. Step 3: Cross multiply
    1,986.40x = 2,742.44 × 1,241
  4. Step 4: Simplify right side
    1,986.40x = 3,403,368.04
  5. Step 5: Solve for x
    x = 3,403,368.04/1,986.40
  6. Step 6: Final answer
    x = 1,713.33

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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.