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Finding the Fourth Proportional to 3,959.78, 5,934.09 and 3,078.24

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Solution

The fourth proportional to 3,959.78, 5,934.09 and 3,078.24 is: 4,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.78 : 5,934.09 = 3,078.24 : x
  2. Step 2: Convert to fraction form
    3,959.78/5,934.09 = 3,078.24/x
  3. Step 3: Cross multiply
    3,959.78x = 5,934.09 × 3,078.24
  4. Step 4: Simplify right side
    3,959.78x = 18,266,553.20
  5. Step 5: Solve for x
    x = 18,266,553.20/3,959.78
  6. Step 6: Final answer
    x = 4,613.03

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1.5x scale

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.