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Finding the Fourth Proportional to 3,759.56, 5,188.72 and 2,267.56

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Solution

The fourth proportional to 3,759.56, 5,188.72 and 2,267.56 is: 3,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.56 : 5,188.72 = 2,267.56 : x
  2. Step 2: Convert to fraction form
    3,759.56/5,188.72 = 2,267.56/x
  3. Step 3: Cross multiply
    3,759.56x = 5,188.72 × 2,267.56
  4. Step 4: Simplify right side
    3,759.56x = 11,765,733.92
  5. Step 5: Solve for x
    x = 11,765,733.92/3,759.56
  6. Step 6: Final answer
    x = 3,129.55

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1.5x scale

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.