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Finding the Fourth Proportional to 3,505.84, 5,260.31 and 1,861.99

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Solution

The fourth proportional to 3,505.84, 5,260.31 and 1,861.99 is: 2,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.84 : 5,260.31 = 1,861.99 : x
  2. Step 2: Convert to fraction form
    3,505.84/5,260.31 = 1,861.99/x
  3. Step 3: Cross multiply
    3,505.84x = 5,260.31 × 1,861.99
  4. Step 4: Simplify right side
    3,505.84x = 9,794,644.62
  5. Step 5: Solve for x
    x = 9,794,644.62/3,505.84
  6. Step 6: Final answer
    x = 2,793.81

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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.