Home / 2,724.08-4,086.26-776.57

Finding the Fourth Proportional to 2,724.08, 4,086.26 and 776.57

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Solution

The fourth proportional to 2,724.08, 4,086.26 and 776.57 is: 1,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.08 : 4,086.26 = 776.57 : x
  2. Step 2: Convert to fraction form
    2,724.08/4,086.26 = 776.57/x
  3. Step 3: Cross multiply
    2,724.08x = 4,086.26 × 776.57
  4. Step 4: Simplify right side
    2,724.08x = 3,173,266.93
  5. Step 5: Solve for x
    x = 3,173,266.93/2,724.08
  6. Step 6: Final answer
    x = 1,164.89

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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.