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Finding the Fourth Proportional to 3,770.52, 5,200.11 and 2,651.10

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Solution

The fourth proportional to 3,770.52, 5,200.11 and 2,651.10 is: 3,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.52 : 5,200.11 = 2,651.10 : x
  2. Step 2: Convert to fraction form
    3,770.52/5,200.11 = 2,651.10/x
  3. Step 3: Cross multiply
    3,770.52x = 5,200.11 × 2,651.10
  4. Step 4: Simplify right side
    3,770.52x = 13,786,011.62
  5. Step 5: Solve for x
    x = 13,786,011.62/3,770.52
  6. Step 6: Final answer
    x = 3,656.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.