Home / 2,523.62-3,784.44-768.08

Finding the Fourth Proportional to 2,523.62, 3,784.44 and 768.08

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Solution

The fourth proportional to 2,523.62, 3,784.44 and 768.08 is: 1,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.62 : 3,784.44 = 768.08 : x
  2. Step 2: Convert to fraction form
    2,523.62/3,784.44 = 768.08/x
  3. Step 3: Cross multiply
    2,523.62x = 3,784.44 × 768.08
  4. Step 4: Simplify right side
    2,523.62x = 2,906,752.68
  5. Step 5: Solve for x
    x = 2,906,752.68/2,523.62
  6. Step 6: Final answer
    x = 1,151.82

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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.