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Finding the Fourth Proportional to 3,397.80, 5,100.12 and 2,012.52

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Solution

The fourth proportional to 3,397.80, 5,100.12 and 2,012.52 is: 3,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.80 : 5,100.12 = 2,012.52 : x
  2. Step 2: Convert to fraction form
    3,397.80/5,100.12 = 2,012.52/x
  3. Step 3: Cross multiply
    3,397.80x = 5,100.12 × 2,012.52
  4. Step 4: Simplify right side
    3,397.80x = 10,264,093.50
  5. Step 5: Solve for x
    x = 10,264,093.50/3,397.80
  6. Step 6: Final answer
    x = 3,020.81

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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.