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Finding the Fourth Proportional to 5,238.97, 7,855.48 and 1,728.02

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Solution

The fourth proportional to 5,238.97, 7,855.48 and 1,728.02 is: 2,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.97 : 7,855.48 = 1,728.02 : x
  2. Step 2: Convert to fraction form
    5,238.97/7,855.48 = 1,728.02/x
  3. Step 3: Cross multiply
    5,238.97x = 7,855.48 × 1,728.02
  4. Step 4: Simplify right side
    5,238.97x = 13,574,426.55
  5. Step 5: Solve for x
    x = 13,574,426.55/5,238.97
  6. Step 6: Final answer
    x = 2,591.05

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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.