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Finding the Fourth Proportional to 3,493.80, 5,234.30 and 2,943.40

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Solution

The fourth proportional to 3,493.80, 5,234.30 and 2,943.40 is: 4,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.80 : 5,234.30 = 2,943.40 : x
  2. Step 2: Convert to fraction form
    3,493.80/5,234.30 = 2,943.40/x
  3. Step 3: Cross multiply
    3,493.80x = 5,234.30 × 2,943.40
  4. Step 4: Simplify right side
    3,493.80x = 15,406,638.62
  5. Step 5: Solve for x
    x = 15,406,638.62/3,493.80
  6. Step 6: Final answer
    x = 4,409.71

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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.