Home / 2,542.28-3,812.61-810.50

Finding the Fourth Proportional to 2,542.28, 3,812.61 and 810.50

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Solution

The fourth proportional to 2,542.28, 3,812.61 and 810.50 is: 1,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.28 : 3,812.61 = 810.50 : x
  2. Step 2: Convert to fraction form
    2,542.28/3,812.61 = 810.50/x
  3. Step 3: Cross multiply
    2,542.28x = 3,812.61 × 810.50
  4. Step 4: Simplify right side
    2,542.28x = 3,090,120.41
  5. Step 5: Solve for x
    x = 3,090,120.41/2,542.28
  6. Step 6: Final answer
    x = 1,215.49

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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.