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Finding the Fourth Proportional to 5,157.82, 7,738.26 and 1,648.05

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Solution

The fourth proportional to 5,157.82, 7,738.26 and 1,648.05 is: 2,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.82 : 7,738.26 = 1,648.05 : x
  2. Step 2: Convert to fraction form
    5,157.82/7,738.26 = 1,648.05/x
  3. Step 3: Cross multiply
    5,157.82x = 7,738.26 × 1,648.05
  4. Step 4: Simplify right side
    5,157.82x = 12,753,039.39
  5. Step 5: Solve for x
    x = 12,753,039.39/5,157.82
  6. Step 6: Final answer
    x = 2,472.56

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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.