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Finding the Fourth Proportional to 2,765.26, 3,810.81 and 1,977.94

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Solution

The fourth proportional to 2,765.26, 3,810.81 and 1,977.94 is: 2,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.26 : 3,810.81 = 1,977.94 : x
  2. Step 2: Convert to fraction form
    2,765.26/3,810.81 = 1,977.94/x
  3. Step 3: Cross multiply
    2,765.26x = 3,810.81 × 1,977.94
  4. Step 4: Simplify right side
    2,765.26x = 7,537,553.53
  5. Step 5: Solve for x
    x = 7,537,553.53/2,765.26
  6. Step 6: Final answer
    x = 2,725.80

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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.