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Finding the Fourth Proportional to 3,702.11, 5,110.11 and 2,209.50

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Solution

The fourth proportional to 3,702.11, 5,110.11 and 2,209.50 is: 3,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.11 : 5,110.11 = 2,209.50 : x
  2. Step 2: Convert to fraction form
    3,702.11/5,110.11 = 2,209.50/x
  3. Step 3: Cross multiply
    3,702.11x = 5,110.11 × 2,209.50
  4. Step 4: Simplify right side
    3,702.11x = 11,290,788.05
  5. Step 5: Solve for x
    x = 11,290,788.05/3,702.11
  6. Step 6: Final answer
    x = 3,049.83

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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.