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Finding the Fourth Proportional to 6,034.50, 9,046.08 and 5,493.42

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Solution

The fourth proportional to 6,034.50, 9,046.08 and 5,493.42 is: 8,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.50 : 9,046.08 = 5,493.42 : x
  2. Step 2: Convert to fraction form
    6,034.50/9,046.08 = 5,493.42/x
  3. Step 3: Cross multiply
    6,034.50x = 9,046.08 × 5,493.42
  4. Step 4: Simplify right side
    6,034.50x = 49,693,916.79
  5. Step 5: Solve for x
    x = 49,693,916.79/6,034.50
  6. Step 6: Final answer
    x = 8,234.97

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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.