Home / 5,109.45-7,664.64-1,821.75

Finding the Fourth Proportional to 5,109.45, 7,664.64 and 1,821.75

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Solution

The fourth proportional to 5,109.45, 7,664.64 and 1,821.75 is: 2,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.45 : 7,664.64 = 1,821.75 : x
  2. Step 2: Convert to fraction form
    5,109.45/7,664.64 = 1,821.75/x
  3. Step 3: Cross multiply
    5,109.45x = 7,664.64 × 1,821.75
  4. Step 4: Simplify right side
    5,109.45x = 13,963,057.92
  5. Step 5: Solve for x
    x = 13,963,057.92/5,109.45
  6. Step 6: Final answer
    x = 2,732.79

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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.