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Finding the Fourth Proportional to 2,971.56, 4,453.92 and 1,563.78

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Solution

The fourth proportional to 2,971.56, 4,453.92 and 1,563.78 is: 2,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.56 : 4,453.92 = 1,563.78 : x
  2. Step 2: Convert to fraction form
    2,971.56/4,453.92 = 1,563.78/x
  3. Step 3: Cross multiply
    2,971.56x = 4,453.92 × 1,563.78
  4. Step 4: Simplify right side
    2,971.56x = 6,964,951.02
  5. Step 5: Solve for x
    x = 6,964,951.02/2,971.56
  6. Step 6: Final answer
    x = 2,343.87

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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.