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Finding the Fourth Proportional to 2,520.90, 3,781.44 and 2,034.90

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Solution

The fourth proportional to 2,520.90, 3,781.44 and 2,034.90 is: 3,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.90 : 3,781.44 = 2,034.90 : x
  2. Step 2: Convert to fraction form
    2,520.90/3,781.44 = 2,034.90/x
  3. Step 3: Cross multiply
    2,520.90x = 3,781.44 × 2,034.90
  4. Step 4: Simplify right side
    2,520.90x = 7,694,852.26
  5. Step 5: Solve for x
    x = 7,694,852.26/2,520.90
  6. Step 6: Final answer
    x = 3,052.42

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1.5x scale

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.