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Finding the Fourth Proportional to 5,940, 8,199.36 and 3,456

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Solution

The fourth proportional to 5,940, 8,199.36 and 3,456 is: 4,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940 : 8,199.36 = 3,456 : x
  2. Step 2: Convert to fraction form
    5,940/8,199.36 = 3,456/x
  3. Step 3: Cross multiply
    5,940x = 8,199.36 × 3,456
  4. Step 4: Simplify right side
    5,940x = 28,336,988.16
  5. Step 5: Solve for x
    x = 28,336,988.16/5,940
  6. Step 6: Final answer
    x = 4,770.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.