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Finding the Fourth Proportional to 3,675, 5,512.50 and 3,490.44

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Solution

The fourth proportional to 3,675, 5,512.50 and 3,490.44 is: 5,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675 : 5,512.50 = 3,490.44 : x
  2. Step 2: Convert to fraction form
    3,675/5,512.50 = 3,490.44/x
  3. Step 3: Cross multiply
    3,675x = 5,512.50 × 3,490.44
  4. Step 4: Simplify right side
    3,675x = 19,241,050.50
  5. Step 5: Solve for x
    x = 19,241,050.50/3,675
  6. Step 6: Final answer
    x = 5,235.66

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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.