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Finding the Fourth Proportional to 3,539.78, 5,310.44 and 1,074.79

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Solution

The fourth proportional to 3,539.78, 5,310.44 and 1,074.79 is: 1,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.78 : 5,310.44 = 1,074.79 : x
  2. Step 2: Convert to fraction form
    3,539.78/5,310.44 = 1,074.79/x
  3. Step 3: Cross multiply
    3,539.78x = 5,310.44 × 1,074.79
  4. Step 4: Simplify right side
    3,539.78x = 5,707,613.10
  5. Step 5: Solve for x
    x = 5,707,613.10/3,539.78
  6. Step 6: Final answer
    x = 1,612.42

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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.