Home / 2,564.15-3,846.36-809.19

Finding the Fourth Proportional to 2,564.15, 3,846.36 and 809.19

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Solution

The fourth proportional to 2,564.15, 3,846.36 and 809.19 is: 1,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.15 : 3,846.36 = 809.19 : x
  2. Step 2: Convert to fraction form
    2,564.15/3,846.36 = 809.19/x
  3. Step 3: Cross multiply
    2,564.15x = 3,846.36 × 809.19
  4. Step 4: Simplify right side
    2,564.15x = 3,112,436.05
  5. Step 5: Solve for x
    x = 3,112,436.05/2,564.15
  6. Step 6: Final answer
    x = 1,213.83

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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.