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Finding the Fourth Proportional to 3,174.16, 4,380.25 and 1,757.90

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Solution

The fourth proportional to 3,174.16, 4,380.25 and 1,757.90 is: 2,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.16 : 4,380.25 = 1,757.90 : x
  2. Step 2: Convert to fraction form
    3,174.16/4,380.25 = 1,757.90/x
  3. Step 3: Cross multiply
    3,174.16x = 4,380.25 × 1,757.90
  4. Step 4: Simplify right side
    3,174.16x = 7,700,041.48
  5. Step 5: Solve for x
    x = 7,700,041.48/3,174.16
  6. Step 6: Final answer
    x = 2,425.85

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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.