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Finding the Fourth Proportional to 3,861.50, 5,329.23 and 2,205.50

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Solution

The fourth proportional to 3,861.50, 5,329.23 and 2,205.50 is: 3,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.50 : 5,329.23 = 2,205.50 : x
  2. Step 2: Convert to fraction form
    3,861.50/5,329.23 = 2,205.50/x
  3. Step 3: Cross multiply
    3,861.50x = 5,329.23 × 2,205.50
  4. Step 4: Simplify right side
    3,861.50x = 11,753,616.77
  5. Step 5: Solve for x
    x = 11,753,616.77/3,861.50
  6. Step 6: Final answer
    x = 3,043.80

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1.5x scale

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.