Home / 1,987.74-2,743.11-1,103.54

Finding the Fourth Proportional to 1,987.74, 2,743.11 and 1,103.54

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Solution

The fourth proportional to 1,987.74, 2,743.11 and 1,103.54 is: 1,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.74 : 2,743.11 = 1,103.54 : x
  2. Step 2: Convert to fraction form
    1,987.74/2,743.11 = 1,103.54/x
  3. Step 3: Cross multiply
    1,987.74x = 2,743.11 × 1,103.54
  4. Step 4: Simplify right side
    1,987.74x = 3,027,117.89
  5. Step 5: Solve for x
    x = 3,027,117.89/1,987.74
  6. Step 6: Final answer
    x = 1,522.89

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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.