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Finding the Fourth Proportional to 2,723.67, 4,084.70 and 991.89

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Solution

The fourth proportional to 2,723.67, 4,084.70 and 991.89 is: 1,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.67 : 4,084.70 = 991.89 : x
  2. Step 2: Convert to fraction form
    2,723.67/4,084.70 = 991.89/x
  3. Step 3: Cross multiply
    2,723.67x = 4,084.70 × 991.89
  4. Step 4: Simplify right side
    2,723.67x = 4,051,568.12
  5. Step 5: Solve for x
    x = 4,051,568.12/2,723.67
  6. Step 6: Final answer
    x = 1,487.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.