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Finding the Fourth Proportional to 3,679.80, 5,522.00 and 2,037.50

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Solution

The fourth proportional to 3,679.80, 5,522.00 and 2,037.50 is: 3,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.80 : 5,522.00 = 2,037.50 : x
  2. Step 2: Convert to fraction form
    3,679.80/5,522.00 = 2,037.50/x
  3. Step 3: Cross multiply
    3,679.80x = 5,522.00 × 2,037.50
  4. Step 4: Simplify right side
    3,679.80x = 11,251,072.65
  5. Step 5: Solve for x
    x = 11,251,072.65/3,679.80
  6. Step 6: Final answer
    x = 3,057.52

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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.