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Finding the Fourth Proportional to 3,769.41, 5,644.80 and 2,205.30

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Solution

The fourth proportional to 3,769.41, 5,644.80 and 2,205.30 is: 3,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.41 : 5,644.80 = 2,205.30 : x
  2. Step 2: Convert to fraction form
    3,769.41/5,644.80 = 2,205.30/x
  3. Step 3: Cross multiply
    3,769.41x = 5,644.80 × 2,205.30
  4. Step 4: Simplify right side
    3,769.41x = 12,448,477.44
  5. Step 5: Solve for x
    x = 12,448,477.44/3,769.41
  6. Step 6: Final answer
    x = 3,302.50

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1.5x scale

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.