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Finding the Fourth Proportional to 5,327.54, 7,991.31 and 1,629.78

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Solution

The fourth proportional to 5,327.54, 7,991.31 and 1,629.78 is: 2,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.54 : 7,991.31 = 1,629.78 : x
  2. Step 2: Convert to fraction form
    5,327.54/7,991.31 = 1,629.78/x
  3. Step 3: Cross multiply
    5,327.54x = 7,991.31 × 1,629.78
  4. Step 4: Simplify right side
    5,327.54x = 13,024,077.21
  5. Step 5: Solve for x
    x = 13,024,077.21/5,327.54
  6. Step 6: Final answer
    x = 2,444.67

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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.