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Finding the Fourth Proportional to 5,190.88, 7,786.38 and 1,728.13

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Solution

The fourth proportional to 5,190.88, 7,786.38 and 1,728.13 is: 2,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.88 : 7,786.38 = 1,728.13 : x
  2. Step 2: Convert to fraction form
    5,190.88/7,786.38 = 1,728.13/x
  3. Step 3: Cross multiply
    5,190.88x = 7,786.38 × 1,728.13
  4. Step 4: Simplify right side
    5,190.88x = 13,455,837.94
  5. Step 5: Solve for x
    x = 13,455,837.94/5,190.88
  6. Step 6: Final answer
    x = 2,592.21

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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.