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Finding the Fourth Proportional to 2,991, 4,127.69 and 1,998.25

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Solution

The fourth proportional to 2,991, 4,127.69 and 1,998.25 is: 2,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991 : 4,127.69 = 1,998.25 : x
  2. Step 2: Convert to fraction form
    2,991/4,127.69 = 1,998.25/x
  3. Step 3: Cross multiply
    2,991x = 4,127.69 × 1,998.25
  4. Step 4: Simplify right side
    2,991x = 8,248,156.54
  5. Step 5: Solve for x
    x = 8,248,156.54/2,991
  6. Step 6: Final answer
    x = 2,757.66

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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.