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Finding the Fourth Proportional to 3,714.85, 5,125.11 and 2,202.07

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Solution

The fourth proportional to 3,714.85, 5,125.11 and 2,202.07 is: 3,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.85 : 5,125.11 = 2,202.07 : x
  2. Step 2: Convert to fraction form
    3,714.85/5,125.11 = 2,202.07/x
  3. Step 3: Cross multiply
    3,714.85x = 5,125.11 × 2,202.07
  4. Step 4: Simplify right side
    3,714.85x = 11,285,850.98
  5. Step 5: Solve for x
    x = 11,285,850.98/3,714.85
  6. Step 6: Final answer
    x = 3,038.04

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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.