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Finding the Fourth Proportional to 1,986.82, 2,741.97 and 1,102.91

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Solution

The fourth proportional to 1,986.82, 2,741.97 and 1,102.91 is: 1,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.82 : 2,741.97 = 1,102.91 : x
  2. Step 2: Convert to fraction form
    1,986.82/2,741.97 = 1,102.91/x
  3. Step 3: Cross multiply
    1,986.82x = 2,741.97 × 1,102.91
  4. Step 4: Simplify right side
    1,986.82x = 3,024,146.13
  5. Step 5: Solve for x
    x = 3,024,146.13/1,986.82
  6. Step 6: Final answer
    x = 1,522.10

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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.