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Finding the Fourth Proportional to 3,174.48, 4,380.80 and 1,849.10

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Solution

The fourth proportional to 3,174.48, 4,380.80 and 1,849.10 is: 2,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.48 : 4,380.80 = 1,849.10 : x
  2. Step 2: Convert to fraction form
    3,174.48/4,380.80 = 1,849.10/x
  3. Step 3: Cross multiply
    3,174.48x = 4,380.80 × 1,849.10
  4. Step 4: Simplify right side
    3,174.48x = 8,100,506.13
  5. Step 5: Solve for x
    x = 8,100,506.13/3,174.48
  6. Step 6: Final answer
    x = 2,551.76

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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.