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Finding the Fourth Proportional to 3,174.81, 4,381.23 and 1,777.56

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Solution

The fourth proportional to 3,174.81, 4,381.23 and 1,777.56 is: 2,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.81 : 4,381.23 = 1,777.56 : x
  2. Step 2: Convert to fraction form
    3,174.81/4,381.23 = 1,777.56/x
  3. Step 3: Cross multiply
    3,174.81x = 4,381.23 × 1,777.56
  4. Step 4: Simplify right side
    3,174.81x = 7,787,899.20
  5. Step 5: Solve for x
    x = 7,787,899.20/3,174.81
  6. Step 6: Final answer
    x = 2,453.03

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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.