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Finding the Fourth Proportional to 4,093, 6,138.84 and 1,170.64

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Solution

The fourth proportional to 4,093, 6,138.84 and 1,170.64 is: 1,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093 : 6,138.84 = 1,170.64 : x
  2. Step 2: Convert to fraction form
    4,093/6,138.84 = 1,170.64/x
  3. Step 3: Cross multiply
    4,093x = 6,138.84 × 1,170.64
  4. Step 4: Simplify right side
    4,093x = 7,186,371.66
  5. Step 5: Solve for x
    x = 7,186,371.66/4,093
  6. Step 6: Final answer
    x = 1,755.77

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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.