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Finding the Fourth Proportional to 1,987.70, 2,743.16 and 1,103.50

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Solution

The fourth proportional to 1,987.70, 2,743.16 and 1,103.50 is: 1,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.70 : 2,743.16 = 1,103.50 : x
  2. Step 2: Convert to fraction form
    1,987.70/2,743.16 = 1,103.50/x
  3. Step 3: Cross multiply
    1,987.70x = 2,743.16 × 1,103.50
  4. Step 4: Simplify right side
    1,987.70x = 3,027,071.54
  5. Step 5: Solve for x
    x = 3,027,071.54/1,987.70
  6. Step 6: Final answer
    x = 1,522.90

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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.