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Finding the Fourth Proportional to 3,808.65, 5,712.27 and 1,728.15

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Solution

The fourth proportional to 3,808.65, 5,712.27 and 1,728.15 is: 2,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.65 : 5,712.27 = 1,728.15 : x
  2. Step 2: Convert to fraction form
    3,808.65/5,712.27 = 1,728.15/x
  3. Step 3: Cross multiply
    3,808.65x = 5,712.27 × 1,728.15
  4. Step 4: Simplify right side
    3,808.65x = 9,871,657.78
  5. Step 5: Solve for x
    x = 9,871,657.78/3,808.65
  6. Step 6: Final answer
    x = 2,591.91

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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.