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Finding the Fourth Proportional to 3,057.66, 4,213.53 and 2,171.93

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Solution

The fourth proportional to 3,057.66, 4,213.53 and 2,171.93 is: 2,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.66 : 4,213.53 = 2,171.93 : x
  2. Step 2: Convert to fraction form
    3,057.66/4,213.53 = 2,171.93/x
  3. Step 3: Cross multiply
    3,057.66x = 4,213.53 × 2,171.93
  4. Step 4: Simplify right side
    3,057.66x = 9,151,471.15
  5. Step 5: Solve for x
    x = 9,151,471.15/3,057.66
  6. Step 6: Final answer
    x = 2,992.97

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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.