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Finding the Fourth Proportional to 5,190.96, 7,786.68 and 1,728.56

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Solution

The fourth proportional to 5,190.96, 7,786.68 and 1,728.56 is: 2,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.96 : 7,786.68 = 1,728.56 : x
  2. Step 2: Convert to fraction form
    5,190.96/7,786.68 = 1,728.56/x
  3. Step 3: Cross multiply
    5,190.96x = 7,786.68 × 1,728.56
  4. Step 4: Simplify right side
    5,190.96x = 13,459,743.58
  5. Step 5: Solve for x
    x = 13,459,743.58/5,190.96
  6. Step 6: Final answer
    x = 2,592.92

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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.