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Finding the Fourth Proportional to 5,438.56, 8,157.66 and 2,974.54

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Solution

The fourth proportional to 5,438.56, 8,157.66 and 2,974.54 is: 4,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.56 : 8,157.66 = 2,974.54 : x
  2. Step 2: Convert to fraction form
    5,438.56/8,157.66 = 2,974.54/x
  3. Step 3: Cross multiply
    5,438.56x = 8,157.66 × 2,974.54
  4. Step 4: Simplify right side
    5,438.56x = 24,265,285.98
  5. Step 5: Solve for x
    x = 24,265,285.98/5,438.56
  6. Step 6: Final answer
    x = 4,461.71

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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.