Home / 2,541-3,811.38-809.40

Finding the Fourth Proportional to 2,541, 3,811.38 and 809.40

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Solution

The fourth proportional to 2,541, 3,811.38 and 809.40 is: 1,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541 : 3,811.38 = 809.40 : x
  2. Step 2: Convert to fraction form
    2,541/3,811.38 = 809.40/x
  3. Step 3: Cross multiply
    2,541x = 3,811.38 × 809.40
  4. Step 4: Simplify right side
    2,541x = 3,084,930.97
  5. Step 5: Solve for x
    x = 3,084,930.97/2,541
  6. Step 6: Final answer
    x = 1,214.06

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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.