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Finding the Fourth Proportional to 8,157.68, 11,249.76 and 5,174

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Solution

The fourth proportional to 8,157.68, 11,249.76 and 5,174 is: 7,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.68 : 11,249.76 = 5,174 : x
  2. Step 2: Convert to fraction form
    8,157.68/11,249.76 = 5,174/x
  3. Step 3: Cross multiply
    8,157.68x = 11,249.76 × 5,174
  4. Step 4: Simplify right side
    8,157.68x = 58,206,258.24
  5. Step 5: Solve for x
    x = 58,206,258.24/8,157.68
  6. Step 6: Final answer
    x = 7,135.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.