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Finding the Fourth Proportional to 5,138.83, 7,736.24 and 3,505.66

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Solution

The fourth proportional to 5,138.83, 7,736.24 and 3,505.66 is: 5,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.83 : 7,736.24 = 3,505.66 : x
  2. Step 2: Convert to fraction form
    5,138.83/7,736.24 = 3,505.66/x
  3. Step 3: Cross multiply
    5,138.83x = 7,736.24 × 3,505.66
  4. Step 4: Simplify right side
    5,138.83x = 27,120,627.12
  5. Step 5: Solve for x
    x = 27,120,627.12/5,138.83
  6. Step 6: Final answer
    x = 5,277.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.