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Finding the Fourth Proportional to 2,662.67, 3,991.28 and 1,563.71

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Solution

The fourth proportional to 2,662.67, 3,991.28 and 1,563.71 is: 2,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.67 : 3,991.28 = 1,563.71 : x
  2. Step 2: Convert to fraction form
    2,662.67/3,991.28 = 1,563.71/x
  3. Step 3: Cross multiply
    2,662.67x = 3,991.28 × 1,563.71
  4. Step 4: Simplify right side
    2,662.67x = 6,241,176.67
  5. Step 5: Solve for x
    x = 6,241,176.67/2,662.67
  6. Step 6: Final answer
    x = 2,343.95

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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.