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Finding the Fourth Proportional to 2,712.70, 3,747.90 and 2,051.74

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Solution

The fourth proportional to 2,712.70, 3,747.90 and 2,051.74 is: 2,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.70 : 3,747.90 = 2,051.74 : x
  2. Step 2: Convert to fraction form
    2,712.70/3,747.90 = 2,051.74/x
  3. Step 3: Cross multiply
    2,712.70x = 3,747.90 × 2,051.74
  4. Step 4: Simplify right side
    2,712.70x = 7,689,716.35
  5. Step 5: Solve for x
    x = 7,689,716.35/2,712.70
  6. Step 6: Final answer
    x = 2,834.71

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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.