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Finding the Fourth Proportional to 1,987.50, 2,743.02 and 1,201.80

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Solution

The fourth proportional to 1,987.50, 2,743.02 and 1,201.80 is: 1,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.50 : 2,743.02 = 1,201.80 : x
  2. Step 2: Convert to fraction form
    1,987.50/2,743.02 = 1,201.80/x
  3. Step 3: Cross multiply
    1,987.50x = 2,743.02 × 1,201.80
  4. Step 4: Simplify right side
    1,987.50x = 3,296,561.44
  5. Step 5: Solve for x
    x = 3,296,561.44/1,987.50
  6. Step 6: Final answer
    x = 1,658.65

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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.