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Finding the Fourth Proportional to 2,480.94, 3,720.84 and 1,020.54

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Solution

The fourth proportional to 2,480.94, 3,720.84 and 1,020.54 is: 1,530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.94 : 3,720.84 = 1,020.54 : x
  2. Step 2: Convert to fraction form
    2,480.94/3,720.84 = 1,020.54/x
  3. Step 3: Cross multiply
    2,480.94x = 3,720.84 × 1,020.54
  4. Step 4: Simplify right side
    2,480.94x = 3,797,266.05
  5. Step 5: Solve for x
    x = 3,797,266.05/2,480.94
  6. Step 6: Final answer
    x = 1,530.58

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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.