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Finding the Fourth Proportional to 3,747.99, 5,172.35 and 2,069.34

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Solution

The fourth proportional to 3,747.99, 5,172.35 and 2,069.34 is: 2,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.99 : 5,172.35 = 2,069.34 : x
  2. Step 2: Convert to fraction form
    3,747.99/5,172.35 = 2,069.34/x
  3. Step 3: Cross multiply
    3,747.99x = 5,172.35 × 2,069.34
  4. Step 4: Simplify right side
    3,747.99x = 10,703,350.75
  5. Step 5: Solve for x
    x = 10,703,350.75/3,747.99
  6. Step 6: Final answer
    x = 2,855.76

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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.