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Finding the Fourth Proportional to 5,738.76, 8,610.57 and 3,138.66

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Solution

The fourth proportional to 5,738.76, 8,610.57 and 3,138.66 is: 4,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.76 : 8,610.57 = 3,138.66 : x
  2. Step 2: Convert to fraction form
    5,738.76/8,610.57 = 3,138.66/x
  3. Step 3: Cross multiply
    5,738.76x = 8,610.57 × 3,138.66
  4. Step 4: Simplify right side
    5,738.76x = 27,025,651.64
  5. Step 5: Solve for x
    x = 27,025,651.64/5,738.76
  6. Step 6: Final answer
    x = 4,709.32

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1.5x scale

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.