Home / 2,542.56-3,813.60-1,003.68

Finding the Fourth Proportional to 2,542.56, 3,813.60 and 1,003.68

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Solution

The fourth proportional to 2,542.56, 3,813.60 and 1,003.68 is: 1,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.56 : 3,813.60 = 1,003.68 : x
  2. Step 2: Convert to fraction form
    2,542.56/3,813.60 = 1,003.68/x
  3. Step 3: Cross multiply
    2,542.56x = 3,813.60 × 1,003.68
  4. Step 4: Simplify right side
    2,542.56x = 3,827,634.05
  5. Step 5: Solve for x
    x = 3,827,634.05/2,542.56
  6. Step 6: Final answer
    x = 1,505.43

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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.