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Finding the Fourth Proportional to 5,190.66, 7,785.78 and 1,727.88

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Solution

The fourth proportional to 5,190.66, 7,785.78 and 1,727.88 is: 2,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.66 : 7,785.78 = 1,727.88 : x
  2. Step 2: Convert to fraction form
    5,190.66/7,785.78 = 1,727.88/x
  3. Step 3: Cross multiply
    5,190.66x = 7,785.78 × 1,727.88
  4. Step 4: Simplify right side
    5,190.66x = 13,452,893.55
  5. Step 5: Solve for x
    x = 13,452,893.55/5,190.66
  6. Step 6: Final answer
    x = 2,591.75

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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.