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Finding the Fourth Proportional to 2,012.76, 3,023.70 and 1,274.65

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Solution

The fourth proportional to 2,012.76, 3,023.70 and 1,274.65 is: 1,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.76 : 3,023.70 = 1,274.65 : x
  2. Step 2: Convert to fraction form
    2,012.76/3,023.70 = 1,274.65/x
  3. Step 3: Cross multiply
    2,012.76x = 3,023.70 × 1,274.65
  4. Step 4: Simplify right side
    2,012.76x = 3,854,146.87
  5. Step 5: Solve for x
    x = 3,854,146.87/2,012.76
  6. Step 6: Final answer
    x = 1,914.86

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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.