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Finding the Fourth Proportional to 2,005, 2,769.16 and 1,977.70

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Solution

The fourth proportional to 2,005, 2,769.16 and 1,977.70 is: 2,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005 : 2,769.16 = 1,977.70 : x
  2. Step 2: Convert to fraction form
    2,005/2,769.16 = 1,977.70/x
  3. Step 3: Cross multiply
    2,005x = 2,769.16 × 1,977.70
  4. Step 4: Simplify right side
    2,005x = 5,476,567.73
  5. Step 5: Solve for x
    x = 5,476,567.73/2,005
  6. Step 6: Final answer
    x = 2,731.46

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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.