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Finding the Fourth Proportional to 2,687.76, 4,031.60 and 1,301.21

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Solution

The fourth proportional to 2,687.76, 4,031.60 and 1,301.21 is: 1,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.76 : 4,031.60 = 1,301.21 : x
  2. Step 2: Convert to fraction form
    2,687.76/4,031.60 = 1,301.21/x
  3. Step 3: Cross multiply
    2,687.76x = 4,031.60 × 1,301.21
  4. Step 4: Simplify right side
    2,687.76x = 5,245,973.03
  5. Step 5: Solve for x
    x = 5,245,973.03/2,687.76
  6. Step 6: Final answer
    x = 1,951.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.