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Finding the Fourth Proportional to 2,716.78, 3,749.10 and 1,474.78

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Solution

The fourth proportional to 2,716.78, 3,749.10 and 1,474.78 is: 2,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.78 : 3,749.10 = 1,474.78 : x
  2. Step 2: Convert to fraction form
    2,716.78/3,749.10 = 1,474.78/x
  3. Step 3: Cross multiply
    2,716.78x = 3,749.10 × 1,474.78
  4. Step 4: Simplify right side
    2,716.78x = 5,529,097.70
  5. Step 5: Solve for x
    x = 5,529,097.70/2,716.78
  6. Step 6: Final answer
    x = 2,035.17

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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.