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Finding the Fourth Proportional to 3,650.94, 5,481 and 3,042.09

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Solution

The fourth proportional to 3,650.94, 5,481 and 3,042.09 is: 4,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.94 : 5,481 = 3,042.09 : x
  2. Step 2: Convert to fraction form
    3,650.94/5,481 = 3,042.09/x
  3. Step 3: Cross multiply
    3,650.94x = 5,481 × 3,042.09
  4. Step 4: Simplify right side
    3,650.94x = 16,673,695.29
  5. Step 5: Solve for x
    x = 16,673,695.29/3,650.94
  6. Step 6: Final answer
    x = 4,566.96

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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.