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Finding the Fourth Proportional to 2,892.12, 3,991.48 and 2,098

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Solution

The fourth proportional to 2,892.12, 3,991.48 and 2,098 is: 2,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.12 : 3,991.48 = 2,098 : x
  2. Step 2: Convert to fraction form
    2,892.12/3,991.48 = 2,098/x
  3. Step 3: Cross multiply
    2,892.12x = 3,991.48 × 2,098
  4. Step 4: Simplify right side
    2,892.12x = 8,374,125.04
  5. Step 5: Solve for x
    x = 8,374,125.04/2,892.12
  6. Step 6: Final answer
    x = 2,895.50

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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.