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Finding the Fourth Proportional to 2,795.70, 3,857.81 and 1,536.74

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Solution

The fourth proportional to 2,795.70, 3,857.81 and 1,536.74 is: 2,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.70 : 3,857.81 = 1,536.74 : x
  2. Step 2: Convert to fraction form
    2,795.70/3,857.81 = 1,536.74/x
  3. Step 3: Cross multiply
    2,795.70x = 3,857.81 × 1,536.74
  4. Step 4: Simplify right side
    2,795.70x = 5,928,450.94
  5. Step 5: Solve for x
    x = 5,928,450.94/2,795.70
  6. Step 6: Final answer
    x = 2,120.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.