Home / 5,629-7,769.64-3,766

Finding the Fourth Proportional to 5,629, 7,769.64 and 3,766

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Solution

The fourth proportional to 5,629, 7,769.64 and 3,766 is: 5,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629 : 7,769.64 = 3,766 : x
  2. Step 2: Convert to fraction form
    5,629/7,769.64 = 3,766/x
  3. Step 3: Cross multiply
    5,629x = 7,769.64 × 3,766
  4. Step 4: Simplify right side
    5,629x = 29,260,464.24
  5. Step 5: Solve for x
    x = 29,260,464.24/5,629
  6. Step 6: Final answer
    x = 5,198.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.