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Finding the Fourth Proportional to 1,987.55, 2,742.89 and 1,201.44

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Solution

The fourth proportional to 1,987.55, 2,742.89 and 1,201.44 is: 1,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.55 : 2,742.89 = 1,201.44 : x
  2. Step 2: Convert to fraction form
    1,987.55/2,742.89 = 1,201.44/x
  3. Step 3: Cross multiply
    1,987.55x = 2,742.89 × 1,201.44
  4. Step 4: Simplify right side
    1,987.55x = 3,295,411.75
  5. Step 5: Solve for x
    x = 3,295,411.75/1,987.55
  6. Step 6: Final answer
    x = 1,658.03

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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.