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Finding the Fourth Proportional to 3,671.72, 5,066.98 and 2,099.85

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Solution

The fourth proportional to 3,671.72, 5,066.98 and 2,099.85 is: 2,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.72 : 5,066.98 = 2,099.85 : x
  2. Step 2: Convert to fraction form
    3,671.72/5,066.98 = 2,099.85/x
  3. Step 3: Cross multiply
    3,671.72x = 5,066.98 × 2,099.85
  4. Step 4: Simplify right side
    3,671.72x = 10,639,873.70
  5. Step 5: Solve for x
    x = 10,639,873.70/3,671.72
  6. Step 6: Final answer
    x = 2,897.79

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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.