Home / 2,542.26-3,813.58-810.90

Finding the Fourth Proportional to 2,542.26, 3,813.58 and 810.90

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Solution

The fourth proportional to 2,542.26, 3,813.58 and 810.90 is: 1,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.26 : 3,813.58 = 810.90 : x
  2. Step 2: Convert to fraction form
    2,542.26/3,813.58 = 810.90/x
  3. Step 3: Cross multiply
    2,542.26x = 3,813.58 × 810.90
  4. Step 4: Simplify right side
    2,542.26x = 3,092,432.02
  5. Step 5: Solve for x
    x = 3,092,432.02/2,542.26
  6. Step 6: Final answer
    x = 1,216.41

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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.