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Finding the Fourth Proportional to 3,700.82, 5,107.85 and 2,376.20

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Solution

The fourth proportional to 3,700.82, 5,107.85 and 2,376.20 is: 3,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.82 : 5,107.85 = 2,376.20 : x
  2. Step 2: Convert to fraction form
    3,700.82/5,107.85 = 2,376.20/x
  3. Step 3: Cross multiply
    3,700.82x = 5,107.85 × 2,376.20
  4. Step 4: Simplify right side
    3,700.82x = 12,137,235.75
  5. Step 5: Solve for x
    x = 12,137,235.75/3,700.82
  6. Step 6: Final answer
    x = 3,279.61

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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.